82579248 has 120 divisors (see below), whose sum is σ = 241297056. Its totient is φ = 26342400.

The previous prime is 82579243. The next prime is 82579261. The reversal of 82579248 is 84297528.

It is not an unprimeable number, because it can be changed into a prime (82579241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419086 + ... + 419282.

Almost surely, 2^82579248 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 82579248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

82579248 is an abundant number, since it is smaller than the sum of its proper divisors (158717808).

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

82579248 is a wasteful number, since it uses less digits than its factorization.

82579248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 82579248 is about 9087.3124739936. The cubic root of 82579248 is about 435.4687297813.

The spelling of 82579248 in words is "eighty-two million, five hundred seventy-nine thousand, two hundred forty-eight".