82577568 has 48 divisors (see below), whose sum is σ = 229521600. Its totient is φ = 25906176.

The previous prime is 82577557. The next prime is 82577603. The reversal of 82577568 is 86577528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23668 + ... + 26931.

It is an arithmetic number, because the mean of its divisors is an integer number (4781700).

Almost surely, 2^82577568 is an apocalyptic number.

It is an amenable number.

82577568 is an abundant number, since it is smaller than the sum of its proper divisors (146944032).

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

82577568 is a wasteful number, since it uses less digits than its factorization.

82577568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50629 (or 50621 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 82577568 is about 9087.2200369530. The cubic root of 82577568 is about 435.4657766890.

The spelling of 82577568 in words is "eighty-two million, five hundred seventy-seven thousand, five hundred sixty-eight".