85192992 has 96 divisors (see below), whose sum is σ = 250508160. Its totient is φ = 28166400.

The previous prime is 85192969. The next prime is 85192993. The reversal of 85192992 is 29929158.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85192993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130138 + ... + 130790.

It is an arithmetic number, because the mean of its divisors is an integer number (2609460).

Almost surely, 2^85192992 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 85192992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125254080).

85192992 is an abundant number, since it is smaller than the sum of its proper divisors (165315168).

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

85192992 is a wasteful number, since it uses less digits than its factorization.

85192992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 85192992 is about 9230.0049837473. The cubic root of 85192992 is about 440.0154815489.

It can be divided in two parts, 8519 and 2992, that added together give a palindrome (11511).

The spelling of 85192992 in words is "eighty-five million, one hundred ninety-two thousand, nine hundred ninety-two".