82680920 has 64 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 27941760.

The previous prime is 82680919. The next prime is 82680947. The reversal of 82680920 is 2908628.

It is a super-2 number, since 2×82680920² = 13672269064092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 17801 + ... + 21959.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2^82680920 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 82680920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

82680920 is an abundant number, since it is smaller than the sum of its proper divisors (132973480).

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

82680920 is a wasteful number, since it uses less digits than its factorization.

82680920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 82680920 is about 9092.9049263698. The cubic root of 82680920 is about 435.6473736079.

The spelling of 82680920 in words is "eighty-two million, six hundred eighty thousand, nine hundred twenty".