1679313168 has 160 divisors (see below), whose sum is σ = 5417153280. Its totient is φ = 494208000.

The previous prime is 1679313131. The next prime is 1679313169. The reversal of 1679313168 is 8613139761.

It is not an unprimeable number, because it can be changed into a prime (1679313169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122668 + ... + 135668.

It is an arithmetic number, because the mean of its divisors is an integer number (33857208).

Almost surely, 2^1679313168 is an apocalyptic number.

1679313168 is a gapful number since it is divisible by the number (18) 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 1679313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708576640).

1679313168 is an abundant number, since it is smaller than the sum of its proper divisors (3737840112).

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

1679313168 is a wasteful number, since it uses less digits than its factorization.

1679313168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054 (or 13042 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1679313168 is about 40979.4237148352. The cubic root of 1679313168 is about 1188.6223654624.

The spelling of 1679313168 in words is "one billion, six hundred seventy-nine million, three hundred thirteen thousand, one hundred sixty-eight".