85575564 has 36 divisors (see below), whose sum is σ = 219285976. Its totient is φ = 28133568.

The previous prime is 85575559. The next prime is 85575577. The reversal of 85575564 is 46557558.

85575564 is a `hidden beast` number, since 85 + 5 + 7 + 5 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13654 + ... + 18909.

Almost surely, 2^85575564 is an apocalyptic number.

It is an amenable number.

85575564 is an abundant number, since it is smaller than the sum of its proper divisors (133710412).

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

85575564 is a wasteful number, since it uses less digits than its factorization.

85575564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32646 (or 32641 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 85575564 is about 9250.7061352094. The cubic root of 85575564 is about 440.6731500724.

The spelling of 85575564 in words is "eighty-five million, five hundred seventy-five thousand, five hundred sixty-four".