85825920 has 64 divisors (see below), whose sum is σ = 273576240. Its totient is φ = 22886400.

The previous prime is 85825919. The next prime is 85825931. The reversal of 85825920 is 2952858.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20431 + ... + 24270.

Almost surely, 2^85825920 is an apocalyptic number.

85825920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85825920 is an abundant number, since it is smaller than the sum of its proper divisors (187750320).

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

85825920 is a wasteful number, since it uses less digits than its factorization.

85825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44723 (or 44711 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85825920 is about 9264.2279764695. The cubic root of 85825920 is about 441.1024694913.

The spelling of 85825920 in words is "eighty-five million, eight hundred twenty-five thousand, nine hundred twenty".