966784000 has 352 divisors, whose sum is σ = 3004275456. Its totient is φ = 302284800.

The previous prime is 966783959. The next prime is 966784003. The reversal of 966784000 is 487669.

966784000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966784003) 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, 11647959 + ... + 11648041.

Almost surely, 2^966784000 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 966784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502137728).

966784000 is an abundant number, since it is smaller than the sum of its proper divisors (2037491456).

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

966784000 is a wasteful number, since it uses less digits than its factorization.

966784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 966784000 is about 31093.1503711026. The cubic root of 966784000 is about 988.8030972906.

The spelling of 966784000 in words is "nine hundred sixty-six million, seven hundred eighty-four thousand".