680711040 has 224 divisors, whose sum is σ = 2441543400. Its totient is φ = 181398528.

The previous prime is 680711033. The next prime is 680711041. The reversal of 680711040 is 40117086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 680710995 and 680711013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680711041) 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 27 ways as a sum of consecutive naturals, for example, 465831 + ... + 467289.

Almost surely, 2^680711040 is an apocalyptic number.

680711040 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 680711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220771700).

680711040 is an abundant number, since it is smaller than the sum of its proper divisors (1760832360).

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

680711040 is an equidigital number, since it uses as much as digits as its factorization.

680711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 680711040 is about 26090.4396283390. The cubic root of 680711040 is about 879.6723297970.

The spelling of 680711040 in words is "six hundred eighty million, seven hundred eleven thousand, forty".