82840680 has 192 divisors, whose sum is σ = 299819520. Its totient is φ = 19699200.

The previous prime is 82840679. The next prime is 82840697. The reversal of 82840680 is 8604828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144795 + ... + 145365.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 2^82840680 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 82840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909760).

82840680 is an abundant number, since it is smaller than the sum of its proper divisors (216978840).

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

82840680 is a wasteful number, since it uses less digits than its factorization.

82840680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82840680 is about 9101.6855581810. The cubic root of 82840680 is about 435.9277859245.

The spelling of 82840680 in words is "eighty-two million, eight hundred forty thousand, six hundred eighty".