679120 has 40 divisors (see below), whose sum is σ = 1703016. Its totient is φ = 250368.

The previous prime is 679111. The next prime is 679123. The reversal of 679120 is 21976.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 678976 = 12^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×679120² = 922407948800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714 + ... + 1366.

2⁶⁷⁹¹²⁰ 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 679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851508).

679120 is an abundant number, since it is smaller than the sum of its proper divisors (1023896).

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

679120 is a wasteful number, since it uses less digits than its factorization.

679120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 679120 is about 824.0873740084. The cubic root of 679120 is about 87.8986436355.

The spelling of 679120 in words is "six hundred seventy-nine thousand, one hundred twenty".