679648320 has 280 divisors, whose sum is σ = 2604890904. Its totient is φ = 167215104.

The previous prime is 679648313. The next prime is 679648327. The reversal of 679648320 is 23846976.

679648320 is a `hidden beast` number, since 67 + 96 + 483 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (679648313) and next prime (679648327).

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 613453824 = 8136^2 + 24768^2 .

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

It is not an unprimeable number, because it can be changed into a prime (679648327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335952 + ... + 337968.

Almost surely, 2^679648320 is an apocalyptic number.

679648320 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 679648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302445452).

679648320 is an abundant number, since it is smaller than the sum of its proper divisors (1925242584).

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

679648320 is a wasteful number, since it uses less digits than its factorization.

679648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 679648320 is about 26070.0655925527. The cubic root of 679648320 is about 879.2143125001.

The spelling of 679648320 in words is "six hundred seventy-nine million, six hundred forty-eight thousand, three hundred twenty".