967668000 has 192 divisors, whose sum is σ = 3414483072. Its totient is φ = 238156800.

The previous prime is 967667951. The next prime is 967668041. The reversal of 967668000 is 866769.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152899 + ... + 159101.

It is an arithmetic number, because the mean of its divisors is an integer number (17783766).

Almost surely, 2^967668000 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 967668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707241536).

967668000 is an abundant number, since it is smaller than the sum of its proper divisors (2446815072).

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

967668000 is a wasteful number, since it uses less digits than its factorization.

967668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 967668000 is about 31107.3624725723. The cubic root of 967668000 is about 989.1043833605.

The spelling of 967668000 in words is "nine hundred sixty-seven million, six hundred sixty-eight thousand".