681816960 has 512 divisors, whose sum is σ = 2802470400. Its totient is φ = 154828800.

The previous prime is 681816959. The next prime is 681816979. The reversal of 681816960 is 69618186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231255 + ... + 3231465.

It is an arithmetic number, because the mean of its divisors is an integer number (5473575).

Almost surely, 2^681816960 is an apocalyptic number.

681816960 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 681816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401235200).

681816960 is an abundant number, since it is smaller than the sum of its proper divisors (2120653440).

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

681816960 is a wasteful number, since it uses less digits than its factorization.

681816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 681816960 is about 26111.6249973072. The cubic root of 681816960 is about 880.1484598013.

The spelling of 681816960 in words is "six hundred eighty-one million, eight hundred sixteen thousand, nine hundred sixty".