87955584 has 64 divisors (see below), whose sum is σ = 235815840. Its totient is φ = 29044736.

The previous prime is 87955559. The next prime is 87955613. The reversal of 87955584 is 48555978.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42379 + ... + 44405.

Almost surely, 2^87955584 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 87955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117907920).

87955584 is an abundant number, since it is smaller than the sum of its proper divisors (147860256).

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

87955584 is a wasteful number, since it uses less digits than its factorization.

87955584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2145 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 51.

The square root of 87955584 is about 9378.4638400966. The cubic root of 87955584 is about 444.7211719598.

The spelling of 87955584 in words is "eighty-seven million, nine hundred fifty-five thousand, five hundred eighty-four".