680064000 has 704 divisors, whose sum is σ = 2942963712. Its totient is φ = 135168000.

The previous prime is 680063987. The next prime is 680064013. The reversal of 680064000 is 460086.

It is an interprime number because it is at equal distance from previous prime (680063987) and next prime (680064013).

It is a tau number, because it is divible by the number of its divisors (704).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29567989 + ... + 29568011.

Almost surely, 2^680064000 is an apocalyptic number.

680064000 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 680064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471481856).

680064000 is an abundant number, since it is smaller than the sum of its proper divisors (2262899712).

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

680064000 is a wasteful number, since it uses less digits than its factorization.

680064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 680064000 is about 26078.0367359201. The cubic root of 680064000 is about 879.3935215171.

The spelling of 680064000 in words is "six hundred eighty million, sixty-four thousand".