679959360 has 280 divisors, whose sum is σ = 2487609960. Its totient is φ = 176173056.

The previous prime is 679959337. The next prime is 679959383. The reversal of 679959360 is 63959976.

It is an interprime number because it is at equal distance from previous prime (679959337) and next prime (679959383).

It can be written as a sum of positive squares in 4 ways, for example, as 77158656 + 602800704 = 8784^2 + 24552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 679959297 and 679959306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 958686 + ... + 959394.

Almost surely, 2^679959360 is an apocalyptic number.

679959360 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 679959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243804980).

679959360 is an abundant number, since it is smaller than the sum of its proper divisors (1807650600).

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

679959360 is a wasteful number, since it uses less digits than its factorization.

679959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 679959360 is about 26076.0303727389. The cubic root of 679959360 is about 879.3484157338.

The spelling of 679959360 in words is "six hundred seventy-nine million, nine hundred fifty-nine thousand, three hundred sixty".