82595680 has 24 divisors (see below), whose sum is σ = 195132672. Its totient is φ = 33038208.

The previous prime is 82595663. The next prime is 82595713. The reversal of 82595680 is 8659528.

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 3 ways as a sum of consecutive naturals, for example, 257952 + ... + 258271.

It is an arithmetic number, because the mean of its divisors is an integer number (8130528).

Almost surely, 2^82595680 is an apocalyptic number.

82595680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82595680 is an abundant number, since it is smaller than the sum of its proper divisors (112536992).

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

82595680 is a wasteful number, since it uses less digits than its factorization.

82595680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516238 (or 516230 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 82595680 is about 9088.2165467159. The cubic root of 82595680 is about 435.4976117251.

The spelling of 82595680 in words is "eighty-two million, five hundred ninety-five thousand, six hundred eighty".