85855264 has 48 divisors (see below), whose sum is σ = 185504256. Its totient is φ = 38790400.

The previous prime is 85855261. The next prime is 85855279. The reversal of 85855264 is 46255858.

It is a super-2 number, since 2×85855264² = 14742252713019392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85855264.

It is not an unprimeable number, because it can be changed into a prime (85855261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66594 + ... + 67870.

It is an arithmetic number, because the mean of its divisors is an integer number (3864672).

Almost surely, 2^85855264 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 85855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92752128).

85855264 is an abundant number, since it is smaller than the sum of its proper divisors (99648992).

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

85855264 is a wasteful number, since it uses less digits than its factorization.

85855264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1481 counting only the distinct ones).

The product of its digits is 384000, while the sum is 43.

The square root of 85855264 is about 9265.8115672617. The cubic root of 85855264 is about 441.1527349433.

The spelling of 85855264 in words is "eighty-five million, eight hundred fifty-five thousand, two hundred sixty-four".