82590560 has 96 divisors (see below), whose sum is σ = 214008480. Its totient is φ = 29933568.

The previous prime is 82590509. The next prime is 82590577. The reversal of 82590560 is 6509528.

It is a super-2 number, since 2×82590560² = 13642401202227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82590560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122384 + ... + 123056.

It is an arithmetic number, because the mean of its divisors is an integer number (2229255).

Almost surely, 2^82590560 is an apocalyptic number.

82590560 is a gapful number since it is divisible by the number (80) 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 82590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107004240).

82590560 is an abundant number, since it is smaller than the sum of its proper divisors (131417920).

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

82590560 is a wasteful number, since it uses less digits than its factorization.

82590560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 82590560 is about 9087.9348589215. The cubic root of 82590560 is about 435.4886128935.

The spelling of 82590560 in words is "eighty-two million, five hundred ninety thousand, five hundred sixty".