85933920 has 48 divisors (see below), whose sum is σ = 270693360. Its totient is φ = 22915584.

The previous prime is 85933919. The next prime is 85933951. The reversal of 85933920 is 2933958.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89035 + ... + 89994.

It is an arithmetic number, because the mean of its divisors is an integer number (5639445).

Almost surely, 2^85933920 is an apocalyptic number.

85933920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85933920 is an abundant number, since it is smaller than the sum of its proper divisors (184759440).

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

85933920 is a wasteful number, since it uses less digits than its factorization.

85933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179047 (or 179039 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 85933920 is about 9270.0550160180. The cubic root of 85933920 is about 441.2874140018.

The spelling of 85933920 in words is "eighty-five million, nine hundred thirty-three thousand, nine hundred twenty".