83824656 has 80 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 26193024.

The previous prime is 83824649. The next prime is 83824669. The reversal of 83824656 is 65642838.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97155 + ... + 98013.

It is an arithmetic number, because the mean of its divisors is an integer number (2879280).

Almost surely, 2^83824656 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 83824656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

83824656 is an abundant number, since it is smaller than the sum of its proper divisors (146517744).

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

83824656 is a wasteful number, since it uses less digits than its factorization.

83824656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 83824656 is about 9155.5805932775. The cubic root of 83824656 is about 437.6469705950.

The spelling of 83824656 in words is "eighty-three million, eight hundred twenty-four thousand, six hundred fifty-six".