82565880 has 64 divisors (see below), whose sum is σ = 248844960. Its totient is φ = 21915648.

The previous prime is 82565867. The next prime is 82565893. The reversal of 82565880 is 8856528.

It is an interprime number because it is at equal distance from previous prime (82565867) and next prime (82565893).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26484 + ... + 29436.

Almost surely, 2^82565880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82565880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124422480).

82565880 is an abundant number, since it is smaller than the sum of its proper divisors (166279080).

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

82565880 is a wasteful number, since it uses less digits than its factorization.

82565880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 82565880 is about 9086.5769132276. The cubic root of 82565880 is about 435.4452304952.

The spelling of 82565880 in words is "eighty-two million, five hundred sixty-five thousand, eight hundred eighty".