681187320 has 384 divisors, whose sum is σ = 2622896640. Its totient is φ = 157386240.

The previous prime is 681187319. The next prime is 681187321. The reversal of 681187320 is 23781186.

681187320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (681187319) and next prime (681187321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681187321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2459022 + ... + 2459298.

It is an arithmetic number, because the mean of its divisors is an integer number (6830460).

Almost surely, 2^681187320 is an apocalyptic number.

681187320 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 681187320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311448320).

681187320 is an abundant number, since it is smaller than the sum of its proper divisors (1941709320).

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

681187320 is a wasteful number, since it uses less digits than its factorization.

681187320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 681187320 is about 26099.5655136249. The cubic root of 681187320 is about 879.8774450541.

The spelling of 681187320 in words is "six hundred eighty-one million, one hundred eighty-seven thousand, three hundred twenty".