966961200 has 120 divisors (see below), whose sum is σ = 3108658176. Its totient is φ = 256928000.

The previous prime is 966961159. The next prime is 966961201. The reversal of 966961200 is 2169669.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966961201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371905 + ... + 374495.

Almost surely, 2^966961200 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 966961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554329088).

966961200 is an abundant number, since it is smaller than the sum of its proper divisors (2141696976).

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

966961200 is a wasteful number, since it uses less digits than its factorization.

966961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 966961200 is about 31095.9997427322. Note that the first 3 decimals coincide. The cubic root of 966961200 is about 988.8635055462.

The spelling of 966961200 in words is "nine hundred sixty-six million, nine hundred sixty-one thousand, two hundred".