83979360 has 144 divisors (see below), whose sum is σ = 296609040. Its totient is φ = 21611520.

The previous prime is 83979359. The next prime is 83979407. The reversal of 83979360 is 6397938.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40755 + ... + 42765.

It is an arithmetic number, because the mean of its divisors is an integer number (2059785).

Almost surely, 2^83979360 is an apocalyptic number.

83979360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148304520).

83979360 is an abundant number, since it is smaller than the sum of its proper divisors (212629680).

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

83979360 is a wasteful number, since it uses less digits than its factorization.

83979360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 83979360 is about 9164.0253164207. The cubic root of 83979360 is about 437.9160407032.

The spelling of 83979360 in words is "eighty-three million, nine hundred seventy-nine thousand, three hundred sixty".