83983920 has 40 divisors (see below), whose sum is σ = 260350896. Its totient is φ = 22395648.

The previous prime is 83983919. The next prime is 83983931. The reversal of 83983920 is 2938938.

It is a tau number, because it is divible by the number of its divisors (40).

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, 174727 + ... + 175206.

Almost surely, 2^83983920 is an apocalyptic number.

83983920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83983920 is an abundant number, since it is smaller than the sum of its proper divisors (176366976).

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

83983920 is a wasteful number, since it uses less digits than its factorization.

83983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349949 (or 349943 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 83983920 is about 9164.2741120069. The cubic root of 83983920 is about 437.9239667023.

The spelling of 83983920 in words is "eighty-three million, nine hundred eighty-three thousand, nine hundred twenty".