681886000 has 80 divisors (see below), whose sum is σ = 1655072640. Its totient is φ = 271718400.

The previous prime is 681885983. The next prime is 681886033. The reversal of 681886000 is 688186.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733536 + ... + 734464.

It is an arithmetic number, because the mean of its divisors is an integer number (20688408).

Almost surely, 2^681886000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827536320).

681886000 is an abundant number, since it is smaller than the sum of its proper divisors (973186640).

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

681886000 is a wasteful number, since it uses less digits than its factorization.

681886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 681886000 is about 26112.9469803774. The cubic root of 681886000 is about 880.1781664050.

The spelling of 681886000 in words is "six hundred eighty-one million, eight hundred eighty-six thousand".