85192224 has 144 divisors (see below), whose sum is σ = 249026400. Its totient is φ = 25479168.

The previous prime is 85192201. The next prime is 85192231. The reversal of 85192224 is 42229158.

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, 957172 + ... + 957260.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 2^85192224 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 85192224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124513200).

85192224 is an abundant number, since it is smaller than the sum of its proper divisors (163834176).

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

85192224 is a wasteful number, since it uses less digits than its factorization.

85192224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 85192224 is about 9229.9633802090. The cubic root of 85192224 is about 440.0141593240.

The spelling of 85192224 in words is "eighty-five million, one hundred ninety-two thousand, two hundred twenty-four".