85564680 has 32 divisors (see below), whose sum is σ = 256694400. Its totient is φ = 22817216.

The previous prime is 85564667. The next prime is 85564693. The reversal of 85564680 is 8646558.

It is an interprime number because it is at equal distance from previous prime (85564667) and next prime (85564693).

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 7 ways as a sum of consecutive naturals, for example, 356400 + ... + 356639.

It is an arithmetic number, because the mean of its divisors is an integer number (8021700).

Almost surely, 2^85564680 is an apocalyptic number.

It is an amenable number.

85564680 is an abundant number, since it is smaller than the sum of its proper divisors (171129720).

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

85564680 is a wasteful number, since it uses less digits than its factorization.

85564680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713053 (or 713049 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 85564680 is about 9250.1178370873. The cubic root of 85564680 is about 440.6544668187.

The spelling of 85564680 in words is "eighty-five million, five hundred sixty-four thousand, six hundred eighty".