83974320 has 100 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 22391424.

The previous prime is 83974301. The next prime is 83974333. The reversal of 83974320 is 2347938.

83974320 is a nontrivial binomial coefficient, being equal to C(12960, 2).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1 + ... + 12959.

Almost surely, 2^83974320 is an apocalyptic number.

83974320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83974320 is the 12959-th triangular number and also the 6480-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83974320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

83974320 is an abundant number, since it is smaller than the sum of its proper divisors (207703440).

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

83974320 is a wasteful number, since it uses less digits than its factorization.

83974320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 83974320 is about 9163.7503239667. The cubic root of 83974320 is about 437.9072800545.

The spelling of 83974320 in words is "eighty-three million, nine hundred seventy-four thousand, three hundred twenty".