85093056 has 84 divisors (see below), whose sum is σ = 246580152. Its totient is φ = 28053504.

The previous prime is 85093051. The next prime is 85093067. The reversal of 85093056 is 65039058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85093056.

It is not an unprimeable number, because it can be changed into a prime (85093051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55111 + ... + 56633.

It is an arithmetic number, because the mean of its divisors is an integer number (2935478).

Almost surely, 2^85093056 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 85093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123290076).

85093056 is an abundant number, since it is smaller than the sum of its proper divisors (161487096).

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

85093056 is a wasteful number, since it uses less digits than its factorization.

85093056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85093056 is about 9224.5897469752. The cubic root of 85093056 is about 439.8433602209.

The spelling of 85093056 in words is "eighty-five million, ninety-three thousand, fifty-six".