6642376 has 48 divisors (see below), whose sum is σ = 14328900. Its totient is φ = 2885376.

The previous prime is 6642373. The next prime is 6642379. The reversal of 6642376 is 6732466.

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 an interprime number because it is at equal distance from previous prime (6642373) and next prime (6642379).

It can be written as a sum of positive squares in 6 ways, for example, as 1232100 + 5410276 = 1110^2 + 2326^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 6² + 6⁵ + 4⁸ + 2¹⁹ + 3 + 7⁸ + 6⁷ .

Its product of digits (36288) is a multiple of the sum of its prime divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390720 + ... + 390736.

Almost surely, 2^6642376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164450).

6642376 is an abundant number, since it is smaller than the sum of its proper divisors (7686524).

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

6642376 is a wasteful number, since it uses less digits than its factorization.

6642376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 32 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 6642376 is about 2577.2807375216. The cubic root of 6642376 is about 187.9783436651.

Multiplying 6642376 by its sum of digits (34), we get a square (225840784 = 15028²).

6642376 divided by its sum of digits (34) gives a square (195364 = 442²).

The spelling of 6642376 in words is "six million, six hundred forty-two thousand, three hundred seventy-six".