966144000 has 416 divisors, whose sum is σ = 3496049856. Its totient is φ = 235929600.

The previous prime is 966143993. The next prime is 966144001. The reversal of 966144000 is 441669.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26111982 + ... + 26112018.

It is an arithmetic number, because the mean of its divisors is an integer number (8403966).

Almost surely, 2^966144000 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 966144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748024928).

966144000 is an abundant number, since it is smaller than the sum of its proper divisors (2529905856).

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

966144000 is a wasteful number, since it uses less digits than its factorization.

966144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 966144000 is about 31082.8570115426. The cubic root of 966144000 is about 988.5848569955.

Adding to 966144000 its reverse (441669), we get a palindrome (966585669).

The spelling of 966144000 in words is "nine hundred sixty-six million, one hundred forty-four thousand".