87200568 has 96 divisors (see below), whose sum is σ = 290690400. Its totient is φ = 22996224.

The previous prime is 87200549. The next prime is 87200579. The reversal of 87200568 is 86500278.

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 23 ways as a sum of consecutive naturals, for example, 103 + ... + 13206.

It is an arithmetic number, because the mean of its divisors is an integer number (3028025).

Almost surely, 2^87200568 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 87200568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145345200).

87200568 is an abundant number, since it is smaller than the sum of its proper divisors (203489832).

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

87200568 is a wasteful number, since it uses less digits than its factorization.

87200568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341 (or 13334 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87200568 is about 9338.1244369520. The cubic root of 87200568 is about 443.4450090208.

The spelling of 87200568 in words is "eighty-seven million, two hundred thousand, five hundred sixty-eight".