83792016 has 240 divisors, whose sum is σ = 303452800. Its totient is φ = 21669120.

The previous prime is 83791951. The next prime is 83792041. The reversal of 83792016 is 61029738.

It is a super-2 number, since 2×83792016² = 14042203890688512, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 365790 + ... + 366018.

Almost surely, 2^83792016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151726400).

83792016 is an abundant number, since it is smaller than the sum of its proper divisors (219660784).

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

83792016 is a wasteful number, since it uses less digits than its factorization.

83792016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83792016 is about 9153.7979003253. The cubic root of 83792016 is about 437.5901589428.

The spelling of 83792016 in words is "eighty-three million, seven hundred ninety-two thousand, sixteen".