32904872 has 96 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 11813760.

The previous prime is 32904871. The next prime is 32904899. The reversal of 32904872 is 27840923.

It is a super-3 number, since 3×32904872³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (32904871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55763 + ... + 56349.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 2^32904872 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 32904872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

32904872 is an abundant number, since it is smaller than the sum of its proper divisors (51555448).

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

32904872 is a wasteful number, since it uses less digits than its factorization.

32904872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 32904872 is about 5736.2768412970. The cubic root of 32904872 is about 320.4449279605. Note that the first 3 decimals are identical.

The spelling of 32904872 in words is "thirty-two million, nine hundred four thousand, eight hundred seventy-two".