6642432 has 108 divisors (see below), whose sum is σ = 20296920. Its totient is φ = 2142720.

The previous prime is 6642431. The next prime is 6642439. The reversal of 6642432 is 2342466.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×6642432³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (6912) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 6642396 and 6642405.

It is not an unprimeable number, because it can be changed into a prime (6642431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214257 + ... + 214287.

Almost surely, 2^6642432 is an apocalyptic number.

6642432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10148460).

6642432 is an abundant number, since it is smaller than the sum of its proper divisors (13654488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6642432 is an equidigital number, since it uses as much as digits as its factorization.

6642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 6642432 is about 2577.2916016625. The cubic root of 6642432 is about 187.9788719277.

Multiplying 6642432 by its sum of digits (27), we get a square (179345664 = 13392²).

6642432 divided by its sum of digits (27) gives a square (246016 = 496²).

Multiplying 6642432 by its product of digits (6912), we get a square (45912489984 = 214272²).

6642432 divided by its product of digits (6912) gives a square (961 = 31²).

Adding to 6642432 its reverse (2342466), we get a palindrome (8984898).

The spelling of 6642432 in words is "six million, six hundred forty-two thousand, four hundred thirty-two".