87964560 has 60 divisors (see below), whose sum is σ = 295416732. Its totient is φ = 23457024.

The previous prime is 87964559. The next prime is 87964601. The reversal of 87964560 is 6546978.

87964560 is a `hidden beast` number, since 87 + 9 + 6 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 26749584 = 7824^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 60367 + ... + 61806.

Almost surely, 2^87964560 is an apocalyptic number.

87964560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87964560 is an abundant number, since it is smaller than the sum of its proper divisors (207452172).

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

87964560 is a wasteful number, since it uses less digits than its factorization.

87964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122192 (or 122183 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 87964560 is about 9378.9423710779. The cubic root of 87964560 is about 444.7362996006.

The spelling of 87964560 in words is "eighty-seven million, nine hundred sixty-four thousand, five hundred sixty".