82479104 has 96 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 36765696.

The previous prime is 82479073. The next prime is 82479107. The reversal of 82479104 is 40197428.

It is not an unprimeable number, because it can be changed into a prime (82479107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800717 + ... + 800819.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^82479104 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 82479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

82479104 is an abundant number, since it is smaller than the sum of its proper divisors (101501056).

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

82479104 is a wasteful number, since it uses less digits than its factorization.

82479104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 82479104 is about 9081.8007025039. The cubic root of 82479104 is about 435.2926273428.

The spelling of 82479104 in words is "eighty-two million, four hundred seventy-nine thousand, one hundred four".