680400384 has 160 divisors (see below), whose sum is σ = 1951589376. Its totient is φ = 209879040.

The previous prime is 680400353. The next prime is 680400397. The reversal of 680400384 is 483004086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1853769 + ... + 1854135.

Almost surely, 2^680400384 is an apocalyptic number.

680400384 is a gapful number since it is divisible by the number (64) 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 680400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975794688).

680400384 is an abundant number, since it is smaller than the sum of its proper divisors (1271188992).

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

680400384 is a wasteful number, since it uses less digits than its factorization.

680400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 680400384 is about 26084.4855038393. The cubic root of 680400384 is about 879.5384907897.

The spelling of 680400384 in words is "six hundred eighty million, four hundred thousand, three hundred eighty-four".