679856160 has 96 divisors (see below), whose sum is σ = 2147402880. Its totient is φ = 180799488.

The previous prime is 679856159. The next prime is 679856161. The reversal of 679856160 is 61658976.

It is an interprime number because it is at equal distance from previous prime (679856159) and next prime (679856161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (679856161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194589 + ... + 198051.

It is an arithmetic number, because the mean of its divisors is an integer number (22368780).

Almost surely, 2^679856160 is an apocalyptic number.

679856160 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 679856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073701440).

679856160 is an abundant number, since it is smaller than the sum of its proper divisors (1467546720).

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

679856160 is a wasteful number, since it uses less digits than its factorization.

679856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 679856160 is about 26074.0514688454. The cubic root of 679856160 is about 879.3039261396.

The spelling of 679856160 in words is "six hundred seventy-nine million, eight hundred fifty-six thousand, one hundred sixty".