679932000 has 576 divisors, whose sum is σ = 2814896448. Its totient is φ = 153600000.

The previous prime is 679931981. The next prime is 679932007. The reversal of 679932000 is 239976.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679932007) 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 95 ways as a sum of consecutive naturals, for example, 6731950 + ... + 6732050.

It is an arithmetic number, because the mean of its divisors is an integer number (4886973).

Almost surely, 2^679932000 is an apocalyptic number.

679932000 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 679932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407448224).

679932000 is an abundant number, since it is smaller than the sum of its proper divisors (2134964448).

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

679932000 is a wasteful number, since it uses less digits than its factorization.

679932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 679932000 is about 26075.5057477319. The cubic root of 679932000 is about 879.3366212567.

The spelling of 679932000 in words is "six hundred seventy-nine million, nine hundred thirty-two thousand".