968858800 has 240 divisors, whose sum is σ = 2936200960. Its totient is φ = 299013120.

The previous prime is 968858783. The next prime is 968858809. The reversal of 968858800 is 8858869.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (968858809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564891 + ... + 1565509.

Almost surely, 2^968858800 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 968858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468100480).

968858800 is an abundant number, since it is smaller than the sum of its proper divisors (1967342160).

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

968858800 is a wasteful number, since it uses less digits than its factorization.

968858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The square root of 968858800 is about 31126.4967511604. The cubic root of 968858800 is about 989.5099434943.

The spelling of 968858800 in words is "nine hundred sixty-eight million, eight hundred fifty-eight thousand, eight hundred".