968851800 has 576 divisors, whose sum is σ = 4081881600. Its totient is φ = 206841600.

The previous prime is 968851759. The next prime is 968851847. The reversal of 968851800 is 8158869.

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 143 ways as a sum of consecutive naturals, for example, 13645765 + ... + 13645835.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^968851800 is an apocalyptic number.

968851800 is a gapful number since it is divisible by the number (90) 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 968851800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040940800).

968851800 is an abundant number, since it is smaller than the sum of its proper divisors (3113029800).

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

968851800 is a wasteful number, since it uses less digits than its factorization.

968851800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 968851800 is about 31126.3843065654. The cubic root of 968851800 is about 989.5075604204.

The spelling of 968851800 in words is "nine hundred sixty-eight million, eight hundred fifty-one thousand, eight hundred".