85956864 has 144 divisors (see below), whose sum is σ = 266864640. Its totient is φ = 24053760.

The previous prime is 85956863. The next prime is 85956877. The reversal of 85956864 is 46865958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85956863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 317049 + ... + 317319.

Almost surely, 2^85956864 is an apocalyptic number.

85956864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432320).

85956864 is an abundant number, since it is smaller than the sum of its proper divisors (180907776).

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

85956864 is a wasteful number, since it uses less digits than its factorization.

85956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 85956864 is about 9271.2924665335. The cubic root of 85956864 is about 441.3266844764.

The spelling of 85956864 in words is "eighty-five million, nine hundred fifty-six thousand, eight hundred sixty-four".