85812056 has 64 divisors (see below), whose sum is σ = 195696000. Its totient is φ = 34767360.

The previous prime is 85812029. The next prime is 85812071. The reversal of 85812056 is 65021858.

85812056 = 76² + 77² + ... + 636².

85812056 = 71³ + 72³ + ... + 138³.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 26915 + ... + 29933.

It is an arithmetic number, because the mean of its divisors is an integer number (3057750).

Almost surely, 2^85812056 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 85812056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97848000).

85812056 is an abundant number, since it is smaller than the sum of its proper divisors (109883944).

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

85812056 is a wasteful number, since it uses less digits than its factorization.

85812056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 85812056 is about 9263.4796917789. The cubic root of 85812056 is about 441.0787168614.

The spelling of 85812056 in words is "eighty-five million, eight hundred twelve thousand, fifty-six".