682920 has 96 divisors (see below), whose sum is σ = 2545920. Its totient is φ = 155520.

The previous prime is 682901. The next prime is 682933. The reversal of 682920 is 29286.

682920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 682920.

It is an unprimeable number.

682920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2385 + ... + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2⁶⁸²⁹²⁰ is an apocalyptic number.

682920 is a gapful number since it is divisible by the number (60) 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 682920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272960).

682920 is an abundant number, since it is smaller than the sum of its proper divisors (1863000).

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

682920 is a wasteful number, since it uses less digits than its factorization.

682920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 682920 is about 826.3897385617. The cubic root of 682920 is about 88.0622837308.

The spelling of 682920 in words is "six hundred eighty-two thousand, nine hundred twenty".