679659120 has 320 divisors, whose sum is σ = 2714112000. Its totient is φ = 153114624.

The previous prime is 679659067. The next prime is 679659137. The reversal of 679659120 is 21956976.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194196 + ... + 1194764.

It is an arithmetic number, because the mean of its divisors is an integer number (8481600).

Almost surely, 2^679659120 is an apocalyptic number.

679659120 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 679659120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056000).

679659120 is an abundant number, since it is smaller than the sum of its proper divisors (2034452880).

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

679659120 is a wasteful number, since it uses less digits than its factorization.

679659120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 679659120 is about 26070.2727258462. The cubic root of 679659120 is about 879.2189695480.

The spelling of 679659120 in words is "six hundred seventy-nine million, six hundred fifty-nine thousand, one hundred twenty".