83924992 has 48 divisors (see below), whose sum is σ = 171891720. Its totient is φ = 40943616.

The previous prime is 83924983. The next prime is 83925013. The reversal of 83924992 is 29942938.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 87588 + ... + 88540.

Almost surely, 2^83924992 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 83924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85945860).

83924992 is an abundant number, since it is smaller than the sum of its proper divisors (87966728).

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

83924992 is an equidigital number, since it uses as much as digits as its factorization.

83924992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 998 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 83924992 is about 9161.0584541307. The cubic root of 83924992 is about 437.8215184340.

The spelling of 83924992 in words is "eighty-three million, nine hundred twenty-four thousand, nine hundred ninety-two".