83990592 has 168 divisors, whose sum is σ = 283073856. Its totient is φ = 23307264.

The previous prime is 83990573. The next prime is 83990603. The reversal of 83990592 is 29509938.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148903 + ... + 149465.

Almost surely, 2^83990592 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 83990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141536928).

83990592 is an abundant number, since it is smaller than the sum of its proper divisors (199083264).

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

83990592 is a wasteful number, since it uses less digits than its factorization.

83990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 83990592 is about 9164.6381270621. The cubic root of 83990592 is about 437.9355631736.

The spelling of 83990592 in words is "eighty-three million, nine hundred ninety thousand, five hundred ninety-two".