82882560 has 208 divisors, whose sum is σ = 283080960. Its totient is φ = 20643840.

The previous prime is 82882559. The next prime is 82882589. The reversal of 82882560 is 6528828.

It is a congruent number.

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, 1167325 + ... + 1167395.

Almost surely, 2^82882560 is an apocalyptic number.

82882560 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 82882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

82882560 is an abundant number, since it is smaller than the sum of its proper divisors (200198400).

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

82882560 is a wasteful number, since it uses less digits than its factorization.

82882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 82882560 is about 9103.9859402352. The cubic root of 82882560 is about 436.0012344605.

The spelling of 82882560 in words is "eighty-two million, eight hundred eighty-two thousand, five hundred sixty".