82881568 has 48 divisors (see below), whose sum is σ = 203442624. Its totient is φ = 32290560.

The previous prime is 82881563. The next prime is 82881571. The reversal of 82881568 is 86518828.

It is not an unprimeable number, because it can be changed into a prime (82881563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14355 + ... + 19282.

It is an arithmetic number, because the mean of its divisors is an integer number (4238388).

Almost surely, 2^82881568 is an apocalyptic number.

82881568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82881568 is an abundant number, since it is smaller than the sum of its proper divisors (120561056).

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

82881568 is a wasteful number, since it uses less digits than its factorization.

82881568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33665 (or 33657 counting only the distinct ones).

The product of its digits is 245760, while the sum is 46.

The square root of 82881568 is about 9103.9314584415. The cubic root of 82881568 is about 435.9994949914. Note that the first 3 decimals are identical.

The spelling of 82881568 in words is "eighty-two million, eight hundred eighty-one thousand, five hundred sixty-eight".