85036176 has 80 divisors (see below), whose sum is σ = 258465600. Its totient is φ = 26675712.

The previous prime is 85036163. The next prime is 85036177. The reversal of 85036176 is 67163058.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 85036176.

It is not an unprimeable number, because it can be changed into a prime (85036177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (3230820).

Almost surely, 2^85036176 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 85036176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129232800).

85036176 is an abundant number, since it is smaller than the sum of its proper divisors (173429424).

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

85036176 is a wasteful number, since it uses less digits than its factorization.

85036176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85036176 is about 9221.5061676496. The cubic root of 85036176 is about 439.7453347257.

The spelling of 85036176 in words is "eighty-five million, thirty-six thousand, one hundred seventy-six".