85995924 has 48 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 24257376.

The previous prime is 85995913. The next prime is 85995941. The reversal of 85995924 is 42959958.

It is a super-2 number, since 2×85995924² = 14790597889227552, which contains 22 as substring.

It is a congruent number.

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, 157 + ... + 13115.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^85995924 is an apocalyptic number.

85995924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85995924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

85995924 is an abundant number, since it is smaller than the sum of its proper divisors (146247276).

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

85995924 is a wasteful number, since it uses less digits than its factorization.

85995924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052 (or 13050 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 85995924 is about 9273.3987296999. The cubic root of 85995924 is about 441.3935226905.

The spelling of 85995924 in words is "eighty-five million, nine hundred ninety-five thousand, nine hundred twenty-four".