85913136 has 120 divisors (see below), whose sum is σ = 262691520. Its totient is φ = 27107136.

The previous prime is 85913129. The next prime is 85913153. The reversal of 85913136 is 63131958.

It is a happy number.

85913136 is a `hidden beast` number, since 8 + 591 + 31 + 36 = 666.

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 85913136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73291 + ... + 74453.

It is an arithmetic number, because the mean of its divisors is an integer number (2189096).

Almost surely, 2^85913136 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 85913136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131345760).

85913136 is an abundant number, since it is smaller than the sum of its proper divisors (176778384).

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

85913136 is a wasteful number, since it uses less digits than its factorization.

85913136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1187 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 85913136 is about 9268.9339192811. The cubic root of 85913136 is about 441.2518345041.

The spelling of 85913136 in words is "eighty-five million, nine hundred thirteen thousand, one hundred thirty-six".