82465056 has 72 divisors (see below), whose sum is σ = 239999760. Its totient is φ = 26845056.

The previous prime is 82465039. The next prime is 82465069. The reversal of 82465056 is 65056428.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×82465056² = 13600970922166272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82465056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9055 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (3333330).

Almost surely, 2^82465056 is an apocalyptic number.

82465056 is a gapful number since it is divisible by the number (86) 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 82465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119999880).

82465056 is an abundant number, since it is smaller than the sum of its proper divisors (157534704).

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

82465056 is a wasteful number, since it uses less digits than its factorization.

82465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 82465056 is about 9081.0272546667. The cubic root of 82465056 is about 435.2679126464.

The spelling of 82465056 in words is "eighty-two million, four hundred sixty-five thousand, fifty-six".