680520 has 64 divisors (see below), whose sum is σ = 2099520. Its totient is φ = 176384.

The previous prime is 680509. The next prime is 680531. The reversal of 680520 is 25086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (680509) and next prime (680531).

It is an unprimeable number.

680520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6307 + ... + 6413.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

2⁶⁸⁰⁵²⁰ is an apocalyptic number.

680520 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 680520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049760).

680520 is an abundant number, since it is smaller than the sum of its proper divisors (1419000).

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

680520 is a wasteful number, since it uses less digits than its factorization.

680520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 680520 is about 824.9363611819. The cubic root of 680520 is about 87.9590029420.

The spelling of 680520 in words is "six hundred eighty thousand, five hundred twenty".