968385600 has 504 divisors, whose sum is σ = 4241881280. Its totient is φ = 204042240.

The previous prime is 968385599. The next prime is 968385623. The reversal of 968385600 is 6583869.

968385600 is a `hidden beast` number, since 9 + 6 + 8 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310031 + ... + 1310769.

Almost surely, 2^968385600 is an apocalyptic number.

968385600 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 968385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120940640).

968385600 is an abundant number, since it is smaller than the sum of its proper divisors (3273495680).

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

968385600 is a wasteful number, since it uses less digits than its factorization.

968385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 968385600 is about 31118.8945819096. The cubic root of 968385600 is about 989.3488218543.

The spelling of 968385600 in words is "nine hundred sixty-eight million, three hundred eighty-five thousand, six hundred".