680123136 has 432 divisors, whose sum is σ = 2415909888. Its totient is φ = 167731200.

The previous prime is 680123113. The next prime is 680123153. The reversal of 680123136 is 631321086.

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, 12832486 + ... + 12832538.

It is an arithmetic number, because the mean of its divisors is an integer number (5592384).

Almost surely, 2^680123136 is an apocalyptic number.

680123136 is a gapful number since it is divisible by the number (66) 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 680123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207954944).

680123136 is an abundant number, since it is smaller than the sum of its proper divisors (1735786752).

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

680123136 is a wasteful number, since it uses less digits than its factorization.

680123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 680123136 is about 26079.1705389569. The cubic root of 680123136 is about 879.4190104456.

The spelling of 680123136 in words is "six hundred eighty million, one hundred twenty-three thousand, one hundred thirty-six".