966340800 has 168 divisors, whose sum is σ = 3522827600. Its totient is φ = 257679360.

The previous prime is 966340777. The next prime is 966340807. The reversal of 966340800 is 8043669.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (966340807) 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, 32016 + ... + 54384.

Almost surely, 2^966340800 is an apocalyptic number.

966340800 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 966340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761413800).

966340800 is an abundant number, since it is smaller than the sum of its proper divisors (2556486800).

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

966340800 is a wasteful number, since it uses less digits than its factorization.

966340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22400 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 966340800 is about 31086.0225825048. The cubic root of 966340800 is about 988.6519761452.

The spelling of 966340800 in words is "nine hundred sixty-six million, three hundred forty thousand, eight hundred".