679123600 has 45 divisors (see below), whose sum is σ = 1632847593. Its totient is φ = 271440960.

The previous prime is 679123583. The next prime is 679123607. The reversal of 679123600 is 6321976.

The square root of 679123600 is 26060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 244484496 + 434639104 = 15636^2 + 20848^2 .

It is a super-2 number, since 2×679123600² = 922417728153920000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (679123607) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 520549 + ... + 521851.

Almost surely, 2^679123600 is an apocalyptic number.

679123600 is the 26060-th square number.

It is an amenable number.

679123600 is an abundant number, since it is smaller than the sum of its proper divisors (953723993).

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

679123600 is an equidigital number, since it uses as much as digits as its factorization.

679123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The cubic root of 679123600 is about 878.9879895146.

The spelling of 679123600 in words is "six hundred seventy-nine million, one hundred twenty-three thousand, six hundred".