82588268 has 24 divisors (see below), whose sum is σ = 169207584. Its totient is φ = 34531200.

The previous prime is 82588249. The next prime is 82588283. The reversal of 82588268 is 86288528.

82588268 = 387² + 388² + ... + 673².

It is a super-2 number, since 2×82588268² = 13641644022479648, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 34823 + ... + 37118.

It is an arithmetic number, because the mean of its divisors is an integer number (7050316).

Almost surely, 2^82588268 is an apocalyptic number.

It is an amenable number.

82588268 is an abundant number, since it is smaller than the sum of its proper divisors (86619316).

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

82588268 is a wasteful number, since it uses less digits than its factorization.

82588268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71993 (or 71991 counting only the distinct ones).

The product of its digits is 491520, while the sum is 47.

The square root of 82588268 is about 9087.8087567906. The cubic root of 82588268 is about 435.4845843898.

The spelling of 82588268 in words is "eighty-two million, five hundred eighty-eight thousand, two hundred sixty-eight".