680628312 has 256 divisors, whose sum is σ = 2404147200. Its totient is φ = 173560320.

The previous prime is 680628253. The next prime is 680628323. The reversal of 680628312 is 213826086.

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

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, 608778 + ... + 609894.

It is an arithmetic number, because the mean of its divisors is an integer number (9391200).

Almost surely, 2^680628312 is an apocalyptic number.

680628312 is a gapful number since it is divisible by the number (62) 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 680628312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202073600).

680628312 is an abundant number, since it is smaller than the sum of its proper divisors (1723518888).

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

680628312 is a wasteful number, since it uses less digits than its factorization.

680628312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 680628312 is about 26088.8541718489. The cubic root of 680628312 is about 879.6366923157.

The spelling of 680628312 in words is "six hundred eighty million, six hundred twenty-eight thousand, three hundred twelve".