679560 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 155136.

The previous prime is 679537. The next prime is 679561. The reversal of 679560 is 65976.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (679561) by changing a digit.

679560 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 15 ways as a sum of consecutive naturals, for example, 436 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁶⁷⁹⁵⁶⁰ is an apocalyptic number.

679560 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 679560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

679560 is an abundant number, since it is smaller than the sum of its proper divisors (1653240).

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

679560 is a wasteful number, since it uses less digits than its factorization.

679560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 679560 is about 824.3542927649. The cubic root of 679560 is about 87.9176226346.

Adding to 679560 its product of nonzero digits (11340), we get a triangular number (690900 = T₁₁₇₅).

The spelling of 679560 in words is "six hundred seventy-nine thousand, five hundred sixty".