82979584 has 72 divisors (see below), whose sum is σ = 183224160. Its totient is φ = 37306368.

The previous prime is 82979573. The next prime is 82979597. The reversal of 82979584 is 48597928.

It is a super-2 number, since 2×82979584² = 13771222721626112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99682 + ... + 100510.

It is an arithmetic number, because the mean of its divisors is an integer number (2544780).

Almost surely, 2^82979584 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 82979584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91612080).

82979584 is an abundant number, since it is smaller than the sum of its proper divisors (100244576).

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

82979584 is a wasteful number, since it uses less digits than its factorization.

82979584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 871 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The square root of 82979584 is about 9109.3130366675. The cubic root of 82979584 is about 436.1712987368.

The spelling of 82979584 in words is "eighty-two million, nine hundred seventy-nine thousand, five hundred eighty-four".