679113120 has 192 divisors, whose sum is σ = 2455971840. Its totient is φ = 154518528.

The previous prime is 679113107. The next prime is 679113131. The reversal of 679113120 is 21311976.

It is a super-2 number, since 2×679113120² = 922389259512268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205959 + ... + 1206521.

It is an arithmetic number, because the mean of its divisors is an integer number (12791520).

Almost surely, 2^679113120 is an apocalyptic number.

679113120 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 679113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227985920).

679113120 is an abundant number, since it is smaller than the sum of its proper divisors (1776858720).

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

679113120 is a wasteful number, since it uses less digits than its factorization.

679113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 679113120 is about 26059.7989247807. The cubic root of 679113120 is about 878.9834680787.

The spelling of 679113120 in words is "six hundred seventy-nine million, one hundred thirteen thousand, one hundred twenty".