968052800 has 168 divisors, whose sum is σ = 2799112512. Its totient is φ = 324864000.

The previous prime is 968052797. The next prime is 968052803. The reversal of 968052800 is 8250869.

It is an interprime number because it is at equal distance from previous prime (968052797) and next prime (968052803).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (968052803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226685 + ... + 230915.

It is an arithmetic number, because the mean of its divisors is an integer number (16661384).

Almost surely, 2^968052800 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 968052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399556256).

968052800 is an abundant number, since it is smaller than the sum of its proper divisors (1831059712).

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

968052800 is a wasteful number, since it uses less digits than its factorization.

968052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 968052800 is about 31113.5468887750. The cubic root of 968052800 is about 989.2354740953.

The spelling of 968052800 in words is "nine hundred sixty-eight million, fifty-two thousand, eight hundred".