82560400 has 60 divisors (see below), whose sum is σ = 213622612. Its totient is φ = 30481920.

The previous prime is 82560397. The next prime is 82560403. The reversal of 82560400 is 406528.

It is an interprime number because it is at equal distance from previous prime (82560397) and next prime (82560403).

It can be written as a sum of positive squares in 6 ways, for example, as 186624 + 82373776 = 432^2 + 9076^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (82560403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2739 + ... + 13138.

Almost surely, 2^82560400 is an apocalyptic number.

82560400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82560400 is an abundant number, since it is smaller than the sum of its proper divisors (131062212).

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

82560400 is a wasteful number, since it uses less digits than its factorization.

82560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15897 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 82560400 is about 9086.2753645264. The cubic root of 82560400 is about 435.4355966018.

Adding to 82560400 its reverse (406528), we get a palindrome (82966928).

It can be divided in two parts, 8 and 2560400, that multiplied together give a triangular number (20483200 = T₆₄₀₀).

The spelling of 82560400 in words is "eighty-two million, five hundred sixty thousand, four hundred".