87560136 has 64 divisors (see below), whose sum is σ = 245520000. Its totient is φ = 28911168.

The previous prime is 87560129. The next prime is 87560141. The reversal of 87560136 is 63106578.

87560136 is a `hidden beast` number, since 87 + 560 + 13 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87560136.

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, 21685 + ... + 25403.

It is an arithmetic number, because the mean of its divisors is an integer number (3836250).

Almost surely, 2^87560136 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 87560136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760000).

87560136 is an abundant number, since it is smaller than the sum of its proper divisors (157959864).

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

87560136 is a wasteful number, since it uses less digits than its factorization.

87560136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87560136 is about 9357.3573192435. The cubic root of 87560136 is about 444.0536823332.

The spelling of 87560136 in words is "eighty-seven million, five hundred sixty thousand, one hundred thirty-six".