679680 has 108 divisors (see below), whose sum is σ = 2391480. Its totient is φ = 178176.

The previous prime is 679669. The next prime is 679681. The reversal of 679680 is 86976.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679681) by changing a digit.

679680 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 11 ways as a sum of consecutive naturals, for example, 11491 + ... + 11549.

2⁶⁷⁹⁶⁸⁰ is an apocalyptic number.

679680 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 679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195740).

679680 is an abundant number, since it is smaller than the sum of its proper divisors (1711800).

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

679680 is a wasteful number, since it uses less digits than its factorization.

679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 679680 is about 824.4270737912. The cubic root of 679680 is about 87.9227973034.

Subtracting from 679680 its reverse (86976), we obtain a cube (592704 = 84³).

The spelling of 679680 in words is "six hundred seventy-nine thousand, six hundred eighty".