83924568 has 96 divisors (see below), whose sum is σ = 279770400. Its totient is φ = 22132224.

The previous prime is 83924557. The next prime is 83924591. The reversal of 83924568 is 86542938.

83924568 is a `hidden beast` number, since 83 + 9 + 2 + 4 + 568 = 666.

It is a super-2 number, since 2×83924568² = 14086666227973248, which contains 22 as substring.

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, 148 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (2914275).

Almost surely, 2^83924568 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 83924568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139885200).

83924568 is an abundant number, since it is smaller than the sum of its proper divisors (195845832).

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

83924568 is a wasteful number, since it uses less digits than its factorization.

83924568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841 (or 12834 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 83924568 is about 9161.0353126707. The cubic root of 83924568 is about 437.8207811223.

The spelling of 83924568 in words is "eighty-three million, nine hundred twenty-four thousand, five hundred sixty-eight".