87617232 has 60 divisors (see below), whose sum is σ = 246370020. Its totient is φ = 29067264.

The previous prime is 87617203. The next prime is 87617249. The reversal of 87617232 is 23271678.

87617232 is a `hidden beast` number, since 8 + 7 + 617 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71166096 + 16451136 = 8436^2 + 4056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 31648 + ... + 34304.

It is an arithmetic number, because the mean of its divisors is an integer number (4106167).

Almost surely, 2^87617232 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 87617232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123185010).

87617232 is an abundant number, since it is smaller than the sum of its proper divisors (158752788).

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

87617232 is a wasteful number, since it uses less digits than its factorization.

87617232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2891 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 87617232 is about 9360.4076834292. The cubic root of 87617232 is about 444.1501805090.

The spelling of 87617232 in words is "eighty-seven million, six hundred seventeen thousand, two hundred thirty-two".