679168440 has 96 divisors (see below), whose sum is σ = 2229271200. Its totient is φ = 179308800.

The previous prime is 679168439. The next prime is 679168453. The reversal of 679168440 is 44861976.

679168440 is a `hidden beast` number, since 67 + 91 + 68 + 440 = 666.

679168440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×679168440² = 922539539784067200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27021 + ... + 45699.

It is an arithmetic number, because the mean of its divisors is an integer number (23221575).

Almost surely, 2^679168440 is an apocalyptic number.

679168440 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 679168440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114635600).

679168440 is an abundant number, since it is smaller than the sum of its proper divisors (1550102760).

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

679168440 is a wasteful number, since it uses less digits than its factorization.

679168440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18797 (or 18790 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 679168440 is about 26060.8603081326. The cubic root of 679168440 is about 879.0073345224.

The spelling of 679168440 in words is "six hundred seventy-nine million, one hundred sixty-eight thousand, four hundred forty".