82791984 has 80 divisors (see below), whose sum is σ = 241413120. Its totient is φ = 24218880.

The previous prime is 82791971. The next prime is 82791991. The reversal of 82791984 is 48919728.

It is a super-2 number, since 2×82791984² = 13709025229312512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12609 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (3017664).

Almost surely, 2^82791984 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 82791984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120706560).

82791984 is an abundant number, since it is smaller than the sum of its proper divisors (158621136).

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

82791984 is a wasteful number, since it uses less digits than its factorization.

82791984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5452 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 82791984 is about 9099.0100560446. The cubic root of 82791984 is about 435.8423524544.

The spelling of 82791984 in words is "eighty-two million, seven hundred ninety-one thousand, nine hundred eighty-four".