85199520 has 96 divisors (see below), whose sum is σ = 306730368. Its totient is φ = 19473408.

The previous prime is 85199507. The next prime is 85199531. The reversal of 85199520 is 2599158.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9319 + ... + 16038.

It is an arithmetic number, because the mean of its divisors is an integer number (3195108).

Almost surely, 2^85199520 is an apocalyptic number.

85199520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85199520 is an abundant number, since it is smaller than the sum of its proper divisors (221530848).

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

85199520 is a wasteful number, since it uses less digits than its factorization.

85199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25382 (or 25374 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 85199520 is about 9230.3586062514. The cubic root of 85199520 is about 440.0267201404.

The spelling of 85199520 in words is "eighty-five million, one hundred ninety-nine thousand, five hundred twenty".