85732864 has 80 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 34781184.

The previous prime is 85732859. The next prime is 85732909. The reversal of 85732864 is 46823758.

It is a self number, because there is not a number n which added to its sum of digits gives 85732864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67467 + ... + 68725.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^85732864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

85732864 is an abundant number, since it is smaller than the sum of its proper divisors (120503936).

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

85732864 is a wasteful number, since it uses less digits than its factorization.

85732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 85732864 is about 9259.2042854664. The cubic root of 85732864 is about 440.9429913470.

The spelling of 85732864 in words is "eighty-five million, seven hundred thirty-two thousand, eight hundred sixty-four".