679993920 has 224 divisors, whose sum is σ = 2416698240. Its totient is φ = 179988480.

The previous prime is 679993877. The next prime is 679993927. The reversal of 679993920 is 29399976.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (679993927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1822854 + ... + 1823226.

Almost surely, 2^679993920 is an apocalyptic number.

679993920 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 679993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208349120).

679993920 is an abundant number, since it is smaller than the sum of its proper divisors (1736704320).

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

679993920 is a wasteful number, since it uses less digits than its factorization.

679993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 679993920 is about 26076.6930418717. The cubic root of 679993920 is about 879.3633135685.

The spelling of 679993920 in words is "six hundred seventy-nine million, nine hundred ninety-three thousand, nine hundred twenty".