82879368 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 20736000.

The previous prime is 82879367. The next prime is 82879397. The reversal of 82879368 is 86397828.

It is a self number, because there is not a number n which added to its sum of digits gives 82879368.

It is not an unprimeable number, because it can be changed into a prime (82879367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021428 + ... + 2021468.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^82879368 is an apocalyptic number.

82879368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82879368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

82879368 is an abundant number, since it is smaller than the sum of its proper divisors (188071032).

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

82879368 is a wasteful number, since it uses less digits than its factorization.

82879368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 82879368 is about 9103.8106307194. The cubic root of 82879368 is about 435.9956372484.

The spelling of 82879368 in words is "eighty-two million, eight hundred seventy-nine thousand, three hundred sixty-eight".