82872960 has 128 divisors (see below), whose sum is σ = 279806400. Its totient is φ = 20791296.

The previous prime is 82872947. The next prime is 82872971. The reversal of 82872960 is 6927828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31371 + ... + 33909.

Almost surely, 2^82872960 is an apocalyptic number.

82872960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139903200).

82872960 is an abundant number, since it is smaller than the sum of its proper divisors (196933440).

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

82872960 is a wasteful number, since it uses less digits than its factorization.

82872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 82872960 is about 9103.4586833796. The cubic root of 82872960 is about 435.9844003060.

The spelling of 82872960 in words is "eighty-two million, eight hundred seventy-two thousand, nine hundred sixty".