87585696 has 72 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 26540160.

The previous prime is 87585689. The next prime is 87585709. The reversal of 87585696 is 69658578.

87585696 is a `hidden beast` number, since 8 + 75 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10656 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 2^87585696 is an apocalyptic number.

It is an amenable number.

87585696 is an abundant number, since it is smaller than the sum of its proper divisors (184138848).

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

87585696 is a wasteful number, since it uses less digits than its factorization.

87585696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27674 (or 27663 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 87585696 is about 9358.7229898101. The cubic root of 87585696 is about 444.0968865751.

The spelling of 87585696 in words is "eighty-seven million, five hundred eighty-five thousand, six hundred ninety-six".