680046120 has 192 divisors, whose sum is σ = 2392790400. Its totient is φ = 166510080.

The previous prime is 680046113. The next prime is 680046139. The reversal of 680046120 is 21640086.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1548861 + ... + 1549299.

It is an arithmetic number, because the mean of its divisors is an integer number (12462450).

Almost surely, 2^680046120 is an apocalyptic number.

680046120 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 680046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196395200).

680046120 is an abundant number, since it is smaller than the sum of its proper divisors (1712744280).

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

680046120 is a wasteful number, since it uses less digits than its factorization.

680046120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 680046120 is about 26077.6939164490. The cubic root of 680046120 is about 879.3858145493.

The spelling of 680046120 in words is "six hundred eighty million, forty-six thousand, one hundred twenty".