82560884 has 36 divisors (see below), whose sum is σ = 170606016. Its totient is φ = 34849584.

The previous prime is 82560853. The next prime is 82560901. The reversal of 82560884 is 48806528.

It is a super-2 number, since 2×82560884² = 13632599133722912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9989 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (4739056).

Almost surely, 2^82560884 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 82560884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85303008).

82560884 is an abundant number, since it is smaller than the sum of its proper divisors (88045132).

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

82560884 is a wasteful number, since it uses less digits than its factorization.

82560884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 82560884 is about 9086.3019980628. The cubic root of 82560884 is about 435.4364474956.

The spelling of 82560884 in words is "eighty-two million, five hundred sixty thousand, eight hundred eighty-four".