679810560 has 320 divisors, whose sum is σ = 2557336320. Its totient is φ = 151879680.

The previous prime is 679810559. The next prime is 679810591. The reversal of 679810560 is 65018976.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097931 + ... + 1098549.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^679810560 is an apocalyptic number.

679810560 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 679810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

679810560 is an abundant number, since it is smaller than the sum of its proper divisors (1877525760).

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

679810560 is a wasteful number, since it uses less digits than its factorization.

679810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 679810560 is about 26073.1770216059. The cubic root of 679810560 is about 879.2842665126.

The spelling of 679810560 in words is "six hundred seventy-nine million, eight hundred ten thousand, five hundred sixty".