87525960 has 64 divisors (see below), whose sum is σ = 266302080. Its totient is φ = 23009280.

The previous prime is 87525953. The next prime is 87525961. The reversal of 87525960 is 6952578.

It is not an unprimeable number, because it can be changed into a prime (87525961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3384 + ... + 13656.

It is an arithmetic number, because the mean of its divisors is an integer number (4160970).

Almost surely, 2^87525960 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 87525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133151040).

87525960 is an abundant number, since it is smaller than the sum of its proper divisors (178776120).

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

87525960 is a wasteful number, since it uses less digits than its factorization.

87525960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 87525960 is about 9355.5309843963. The cubic root of 87525960 is about 443.9959012689.

The spelling of 87525960 in words is "eighty-seven million, five hundred twenty-five thousand, nine hundred sixty".