679071360 has 384 divisors, whose sum is σ = 2474438400. Its totient is φ = 158146560.

The previous prime is 679071359. The next prime is 679071361. The reversal of 679071360 is 63170976.

It is an interprime number because it is at equal distance from previous prime (679071359) and next prime (679071361).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×679071360² = 922275823944499200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (679071361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8595801 + ... + 8595879.

It is an arithmetic number, because the mean of its divisors is an integer number (6443850).

Almost surely, 2^679071360 is an apocalyptic number.

679071360 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 679071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237219200).

679071360 is an abundant number, since it is smaller than the sum of its proper divisors (1795367040).

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

679071360 is a wasteful number, since it uses less digits than its factorization.

679071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 679071360 is about 26058.9976783452. The cubic root of 679071360 is about 878.9654509026.

The spelling of 679071360 in words is "six hundred seventy-nine million, seventy-one thousand, three hundred sixty".