968500800 has 504 divisors, whose sum is σ = 3714512256. Its totient is φ = 248002560.

The previous prime is 968500787. The next prime is 968500807. The reversal of 968500800 is 8005869.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968500807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18273574 + ... + 18273626.

It is an arithmetic number, because the mean of its divisors is an integer number (7370064).

Almost surely, 2^968500800 is an apocalyptic number.

968500800 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 968500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

968500800 is an abundant number, since it is smaller than the sum of its proper divisors (2746011456).

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

968500800 is a wasteful number, since it uses less digits than its factorization.

968500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 968500800 is about 31120.7454923561. The cubic root of 968500800 is about 989.3880515665.

The spelling of 968500800 in words is "nine hundred sixty-eight million, five hundred thousand, eight hundred".