85932864 has 84 divisors (see below), whose sum is σ = 247907556. Its totient is φ = 28459008.

The previous prime is 85932863. The next prime is 85932871. The reversal of 85932864 is 46823958.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 73822464 = 3480^2 + 8592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85932863) by changing a digit.

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, 110782 + ... + 111554.

Almost surely, 2^85932864 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 85932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123953778).

85932864 is an abundant number, since it is smaller than the sum of its proper divisors (161974692).

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

85932864 is a wasteful number, since it uses less digits than its factorization.

85932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 971 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85932864 is about 9269.9980582522. The cubic root of 85932864 is about 441.2856064058.

The spelling of 85932864 in words is "eighty-five million, nine hundred thirty-two thousand, eight hundred sixty-four".