679159200 has 144 divisors (see below), whose sum is σ = 2262417696. Its totient is φ = 176870400.

The previous prime is 679159171. The next prime is 679159289. The reversal of 679159200 is 2951976.

It is a super-2 number, since 2×679159200² = 922514437889280000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 99910 + ... + 106490.

It is an arithmetic number, because the mean of its divisors is an integer number (15711234).

Almost surely, 2^679159200 is an apocalyptic number.

679159200 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 679159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131208848).

679159200 is an abundant number, since it is smaller than the sum of its proper divisors (1583258496).

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

679159200 is a wasteful number, since it uses less digits than its factorization.

679159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 679159200 is about 26060.6830301894. The cubic root of 679159200 is about 879.0033482434.

The spelling of 679159200 in words is "six hundred seventy-nine million, one hundred fifty-nine thousand, two hundred".