680440320 has 240 divisors, whose sum is σ = 2693845440. Its totient is φ = 155492352.

The previous prime is 680440309. The next prime is 680440337. The reversal of 680440320 is 23044086.

It is a tau number, because it is divible by the number of its divisors (240).

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, 159171 + ... + 163389.

It is an arithmetic number, because the mean of its divisors is an integer number (11224356).

Almost surely, 2^680440320 is an apocalyptic number.

680440320 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 680440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346922720).

680440320 is an abundant number, since it is smaller than the sum of its proper divisors (2013405120).

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

680440320 is a wasteful number, since it uses less digits than its factorization.

680440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 680440320 is about 26085.2510051178. The cubic root of 680440320 is about 879.5556985803. Note that the first 3 decimals are identical.

The spelling of 680440320 in words is "six hundred eighty million, four hundred forty thousand, three hundred twenty".