85772664 has 48 divisors (see below), whose sum is σ = 235497600. Its totient is φ = 28197504.

The previous prime is 85772651. The next prime is 85772723. The reversal of 85772664 is 46627758.

It is a congruent number.

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, 2904 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (4906200).

Almost surely, 2^85772664 is an apocalyptic number.

It is an amenable number.

85772664 is an abundant number, since it is smaller than the sum of its proper divisors (149724936).

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

85772664 is a wasteful number, since it uses less digits than its factorization.

85772664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16404 (or 16397 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 85772664 is about 9261.3532488508. The cubic root of 85772664 is about 441.0112141779.

It can be divided in two parts, 85772 and 664, that added together give a square (86436 = 294²).

The spelling of 85772664 in words is "eighty-five million, seven hundred seventy-two thousand, six hundred sixty-four".