85710564 has 27 divisors (see below), whose sum is σ = 216797763. Its totient is φ = 28551672.

The previous prime is 85710553. The next prime is 85710587. The reversal of 85710564 is 46501758.

The square root of 85710564 is 9258.

It is a perfect power (a square), and thus also a powerful number.

85710564 is a `hidden beast` number, since 85 + 7 + 10 + 564 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54777 + ... + 56319.

Almost surely, 2^85710564 is an apocalyptic number.

85710564 is the 9258-th square number.

It is an amenable number.

85710564 is an abundant number, since it is smaller than the sum of its proper divisors (131087199).

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

85710564 is a wasteful number, since it uses less digits than its factorization.

85710564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The cubic root of 85710564 is about 440.9047567621.

Multiplying 85710564 by its sum of digits (36), we get a square (3085580304 = 55548²).

85710564 divided by its sum of digits (36) gives a square (2380849 = 1543²).

It can be divided in two parts, 85 and 710564, that added together give a square (710649 = 843²).

The spelling of 85710564 in words is "eighty-five million, seven hundred ten thousand, five hundred sixty-four".