87575904 has 240 divisors, whose sum is σ = 291991392. Its totient is φ = 25546752.

The previous prime is 87575903. The next prime is 87575947. The reversal of 87575904 is 40957578.

87575904 is a `hidden beast` number, since 8 + 7 + 57 + 590 + 4 = 666.

It is a super-2 number, since 2×87575904² = 15339077922834432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87575904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87575903) 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 39 ways as a sum of consecutive naturals, for example, 774952 + ... + 775064.

Almost surely, 2^87575904 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 87575904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995696).

87575904 is an abundant number, since it is smaller than the sum of its proper divisors (204415488).

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

87575904 is a wasteful number, since it uses less digits than its factorization.

87575904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 87575904 is about 9358.1998268898. The cubic root of 87575904 is about 444.0803360842.

The spelling of 87575904 in words is "eighty-seven million, five hundred seventy-five thousand, nine hundred four".