85508136 has 120 divisors (see below), whose sum is σ = 278707770. Its totient is φ = 24421824.

The previous prime is 85508131. The next prime is 85508173. The reversal of 85508136 is 63180558.

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 9922500 = 8694^2 + 3150^2 .

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 85508136.

It is not an unprimeable number, because it can be changed into a prime (85508131) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30406 + ... + 33098.

Almost surely, 2^85508136 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 85508136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139353885).

85508136 is an abundant number, since it is smaller than the sum of its proper divisors (193199634).

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

85508136 is a wasteful number, since it uses less digits than its factorization.

85508136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85508136 is about 9247.0609384820. The cubic root of 85508136 is about 440.5573790300.

The spelling of 85508136 in words is "eighty-five million, five hundred eight thousand, one hundred thirty-six".