82831680 has 112 divisors (see below), whose sum is σ = 292242240. Its totient is φ = 22086144.

The previous prime is 82831669. The next prime is 82831703. The reversal of 82831680 is 8613828.

It is a super-2 number, since 2×82831680² = 13722174423244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3847 + ... + 13433.

Almost surely, 2^82831680 is an apocalyptic number.

82831680 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 82831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146121120).

82831680 is an abundant number, since it is smaller than the sum of its proper divisors (209410560).

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

82831680 is a wasteful number, since it uses less digits than its factorization.

82831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82831680 is about 9101.1911308356. The cubic root of 82831680 is about 435.9119986239.

The spelling of 82831680 in words is "eighty-two million, eight hundred thirty-one thousand, six hundred eighty".