87557904 has 90 divisors (see below), whose sum is σ = 285070110. Its totient is φ = 25014528.

The previous prime is 87557881. The next prime is 87557927. The reversal of 87557904 is 40975578.

87557904 is a `hidden beast` number, since 8 + 7 + 557 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (87557881) and next prime (87557927).

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 36578304 = 7140^2 + 6048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87557904.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 852 + ... + 13260.

Almost surely, 2^87557904 is an apocalyptic number.

87557904 is a gapful number since it is divisible by the number (84) 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 87557904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142535055).

87557904 is an abundant number, since it is smaller than the sum of its proper divisors (197512206).

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

87557904 is a wasteful number, since it uses less digits than its factorization.

87557904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12421 counting only the distinct ones).

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

The square root of 87557904 is about 9357.2380540414. The cubic root of 87557904 is about 444.0499091692.

The spelling of 87557904 in words is "eighty-seven million, five hundred fifty-seven thousand, nine hundred four".