679896000 has 672 divisors, whose sum is σ = 2967045120. Its totient is φ = 145152000.

The previous prime is 679895987. The next prime is 679896001. The reversal of 679896000 is 698976.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679896001) 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, 9575965 + ... + 9576035.

Almost surely, 2^679896000 is an apocalyptic number.

679896000 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 679896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483522560).

679896000 is an abundant number, since it is smaller than the sum of its proper divisors (2287149120).

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

679896000 is a wasteful number, since it uses less digits than its factorization.

679896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 679896000 is about 26074.8154355884. The cubic root of 679896000 is about 879.3211017258.

The spelling of 679896000 in words is "six hundred seventy-nine million, eight hundred ninety-six thousand".