679916160 has 768 divisors, whose sum is σ = 3097699200. Its totient is φ = 139345920.

The previous prime is 679916119. The next prime is 679916191. The reversal of 679916160 is 61619976.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313884 + ... + 9313956.

Almost surely, 2^679916160 is an apocalyptic number.

679916160 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 679916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548849600).

679916160 is an abundant number, since it is smaller than the sum of its proper divisors (2417783040).

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

679916160 is a wasteful number, since it uses less digits than its factorization.

679916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 679916160 is about 26075.2020126403. The cubic root of 679916160 is about 879.3297927306.

The spelling of 679916160 in words is "six hundred seventy-nine million, nine hundred sixteen thousand, one hundred sixty".