82337920 has 64 divisors (see below), whose sum is σ = 224971200. Its totient is φ = 28228608.

The previous prime is 82337869. The next prime is 82337929. The reversal of 82337920 is 2973328.

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

It is not an unprimeable number, because it can be changed into a prime (82337929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4710 + ... + 13669.

It is an arithmetic number, because the mean of its divisors is an integer number (3515175).

Almost surely, 2^82337920 is an apocalyptic number.

82337920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82337920 is an abundant number, since it is smaller than the sum of its proper divisors (142633280).

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

82337920 is a wasteful number, since it uses less digits than its factorization.

82337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18405 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 82337920 is about 9074.0244654729. The cubic root of 82337920 is about 435.0441140799.

The spelling of 82337920 in words is "eighty-two million, three hundred thirty-seven thousand, nine hundred twenty".