680366400 has 168 divisors, whose sum is σ = 2551176000. Its totient is φ = 155504640.

The previous prime is 680366371. The next prime is 680366411. The reversal of 680366400 is 4663086.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23476 + ... + 43724.

Almost surely, 2^680366400 is an apocalyptic number.

680366400 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 680366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275588000).

680366400 is an abundant number, since it is smaller than the sum of its proper divisors (1870809600).

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

680366400 is a wasteful number, since it uses less digits than its factorization.

680366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20281 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 680366400 is about 26083.8340740007. The cubic root of 680366400 is about 879.5238470915.

The spelling of 680366400 in words is "six hundred eighty million, three hundred sixty-six thousand, four hundred".