968805600 has 144 divisors (see below), whose sum is σ = 3604019328. Its totient is φ = 221437440.

The previous prime is 968805589. The next prime is 968805601. The reversal of 968805600 is 6508869.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968805601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12034 + ... + 45633.

It is an arithmetic number, because the mean of its divisors is an integer number (25027912).

Almost surely, 2^968805600 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 968805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802009664).

968805600 is an abundant number, since it is smaller than the sum of its proper divisors (2635213728).

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

968805600 is a wasteful number, since it uses less digits than its factorization.

968805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57697 (or 57684 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 968805600 is about 31125.6421620502. The cubic root of 968805600 is about 989.4918318449.

The spelling of 968805600 in words is "nine hundred sixty-eight million, eight hundred five thousand, six hundred".