83922720 has 96 divisors (see below), whose sum is σ = 302133888. Its totient is φ = 19181568.

The previous prime is 83922719. The next prime is 83922737. The reversal of 83922720 is 2722938.

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

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, 9129 + ... + 15848.

It is an arithmetic number, because the mean of its divisors is an integer number (3147228).

Almost surely, 2^83922720 is an apocalyptic number.

83922720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83922720 is an abundant number, since it is smaller than the sum of its proper divisors (218211168).

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

83922720 is a wasteful number, since it uses less digits than its factorization.

83922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25002 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 83922720 is about 9160.9344501530. The cubic root of 83922720 is about 437.8175675272.

The spelling of 83922720 in words is "eighty-three million, nine hundred twenty-two thousand, seven hundred twenty".