82696680 has 128 divisors (see below), whose sum is σ = 300758400. Its totient is φ = 20044800.

The previous prime is 82696667. The next prime is 82696681. The reversal of 82696680 is 8669628.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82696681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8400 + ... + 15360.

It is an arithmetic number, because the mean of its divisors is an integer number (2349675).

Almost surely, 2^82696680 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 82696680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150379200).

82696680 is an abundant number, since it is smaller than the sum of its proper divisors (218061720).

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

82696680 is a wasteful number, since it uses less digits than its factorization.

82696680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 82696680 is about 9093.7714948200. The cubic root of 82696680 is about 435.6750517648.

The spelling of 82696680 in words is "eighty-two million, six hundred ninety-six thousand, six hundred eighty".