85192920 has 96 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 21728256.

The previous prime is 85192909. The next prime is 85192931. The reversal of 85192920 is 2929158.

It is an interprime number because it is at equal distance from previous prime (85192909) and next prime (85192931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3136 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2^85192920 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 85192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

85192920 is an abundant number, since it is smaller than the sum of its proper divisors (203750280).

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

85192920 is a wasteful number, since it uses less digits than its factorization.

85192920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 85192920 is about 9230.0010834236. The cubic root of 85192920 is about 440.0153575907.

The spelling of 85192920 in words is "eighty-five million, one hundred ninety-two thousand, nine hundred twenty".