680138820 has 144 divisors (see below), whose sum is σ = 2203044480. Its totient is φ = 169344000.

The previous prime is 680138807. The next prime is 680138831. The reversal of 680138820 is 28831086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241420 + ... + 244220.

It is an arithmetic number, because the mean of its divisors is an integer number (15298920).

Almost surely, 2^680138820 is an apocalyptic number.

680138820 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 680138820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101522240).

680138820 is an abundant number, since it is smaller than the sum of its proper divisors (1522905660).

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

680138820 is a wasteful number, since it uses less digits than its factorization.

680138820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 680138820 is about 26079.4712369710. The cubic root of 680138820 is about 879.4257703498.

The spelling of 680138820 in words is "six hundred eighty million, one hundred thirty-eight thousand, eight hundred twenty".