83579496 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 19756800.

The previous prime is 83579477. The next prime is 83579513. The reversal of 83579496 is 69497538.

It is a super-2 number, since 2×83579496² = 13971064303228032, 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 63 ways as a sum of consecutive naturals, for example, 1177141 + ... + 1177211.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^83579496 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 83579496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

83579496 is an abundant number, since it is smaller than the sum of its proper divisors (206724504).

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

83579496 is a wasteful number, since it uses less digits than its factorization.

83579496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 83579496 is about 9142.1822340183. The cubic root of 83579496 is about 437.2198953710.

The spelling of 83579496 in words is "eighty-three million, five hundred seventy-nine thousand, four hundred ninety-six".