968352000 has 576 divisors, whose sum is σ = 4040644608. Its totient is φ = 199680000.

The previous prime is 968351983. The next prime is 968352017. The reversal of 968352000 is 253869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (968351983) and next prime (968352017).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7391935 + ... + 7392065.

It is an arithmetic number, because the mean of its divisors is an integer number (7015008).

Almost surely, 2^968352000 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 968352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020322304).

968352000 is an abundant number, since it is smaller than the sum of its proper divisors (3072292608).

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

968352000 is a wasteful number, since it uses less digits than its factorization.

968352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 968352000 is about 31118.3547122916. The cubic root of 968352000 is about 989.3373792689.

The spelling of 968352000 in words is "nine hundred sixty-eight million, three hundred fifty-two thousand".