87564906 has 48 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 24492960.

The previous prime is 87564871. The next prime is 87564923. The reversal of 87564906 is 60946578.

87564906 is a `hidden beast` number, since 87 + 564 + 9 + 0 + 6 = 666.

It is a super-2 number, since 2×87564906² = 15335225525577672, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14436 + ... + 19583.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^87564906 is an apocalyptic number.

87564906 is an abundant number, since it is smaller than the sum of its proper divisors (135334134).

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

87564906 is a wasteful number, since it uses less digits than its factorization.

87564906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34051 (or 34048 counting only the distinct ones).

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

The square root of 87564906 is about 9357.6121954268. The cubic root of 87564906 is about 444.0617457347.

The spelling of 87564906 in words is "eighty-seven million, five hundred sixty-four thousand, nine hundred six".