8681883000 has 512 divisors, whose sum is σ = 33286256640. Its totient is φ = 1838899200.

The previous prime is 8681882953. The next prime is 8681883013. The reversal of 8681883000 is 3881868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29630854 + ... + 29631146.

It is an arithmetic number, because the mean of its divisors is an integer number (65012220).

Almost surely, 2^8681883000 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 8681883000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

8681883000 is an abundant number, since it is smaller than the sum of its proper divisors (24604373640).

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

8681883000 is a wasteful number, since it uses less digits than its factorization.

8681883000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8681883000 is about 93176.6226045997. The cubic root of 8681883000 is about 2055.2814835737.

The spelling of 8681883000 in words is "eight billion, six hundred eighty-one million, eight hundred eighty-three thousand".