6642576 has 60 divisors (see below), whose sum is σ = 18770128. Its totient is φ = 2192832.

The previous prime is 6642553. The next prime is 6642593. The reversal of 6642576 is 6752466.

6642576 is a `hidden beast` number, since 6 + 642 + 5 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6642576.

It is an unprimeable number.

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, 23331 + ... + 23613.

Almost surely, 2^6642576 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 6642576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9385064).

6642576 is an abundant number, since it is smaller than the sum of its proper divisors (12127552).

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

6642576 is a wasteful number, since it uses less digits than its factorization.

6642576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 6642576 is about 2577.3195378144. The cubic root of 6642576 is about 187.9802303038.

It can be divided in two parts, 664 and 2576, that added together give a triangular number (3240 = T₈₀).

The spelling of 6642576 in words is "six million, six hundred forty-two thousand, five hundred seventy-six".