87564260 has 48 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 29510400.

The previous prime is 87564251. The next prime is 87564271. The reversal of 87564260 is 6246578.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2960 + ... + 13560.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^87564260 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 87564260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

87564260 is an abundant number, since it is smaller than the sum of its proper divisors (126172060).

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

87564260 is a wasteful number, since it uses less digits than its factorization.

87564260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 87564260 is about 9357.5776780105. The cubic root of 87564260 is about 444.0606537272.

The spelling of 87564260 in words is "eighty-seven million, five hundred sixty-four thousand, two hundred sixty".