83919120 has 40 divisors (see below), whose sum is σ = 260150016. Its totient is φ = 22378368.

The previous prime is 83919109. The next prime is 83919149. The reversal of 83919120 is 2191938.

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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174592 + ... + 175071.

Almost surely, 2^83919120 is an apocalyptic number.

83919120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83919120 is an abundant number, since it is smaller than the sum of its proper divisors (176230896).

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

83919120 is a wasteful number, since it uses less digits than its factorization.

83919120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349679 (or 349673 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 83919120 is about 9160.7379615400. The cubic root of 83919120 is about 437.8113071415.

The spelling of 83919120 in words is "eighty-three million, nine hundred nineteen thousand, one hundred twenty".