680287440 has 160 divisors (see below), whose sum is σ = 2419845120. Its totient is φ = 154870272.

The previous prime is 680287429. The next prime is 680287441. The reversal of 680287440 is 44782086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680287441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515101 + ... + 516419.

It is an arithmetic number, because the mean of its divisors is an integer number (15124032).

Almost surely, 2^680287440 is an apocalyptic number.

680287440 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 680287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

680287440 is an abundant number, since it is smaller than the sum of its proper divisors (1739557680).

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

680287440 is a wasteful number, since it uses less digits than its factorization.

680287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 680287440 is about 26082.3204489171. The cubic root of 680287440 is about 879.4898213618.

The spelling of 680287440 in words is "six hundred eighty million, two hundred eighty-seven thousand, four hundred forty".