966436000 has 96 divisors (see below), whose sum is σ = 2385294912. Its totient is φ = 384825600.

The previous prime is 966435997. The next prime is 966436001. The reversal of 966436000 is 634669.

It is not an unprimeable number, because it can be changed into a prime (966436001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227607 + ... + 1228393.

It is an arithmetic number, because the mean of its divisors is an integer number (24846822).

Almost surely, 2^966436000 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 966436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192647456).

966436000 is an abundant number, since it is smaller than the sum of its proper divisors (1418858912).

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

966436000 is a wasteful number, since it uses less digits than its factorization.

966436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 966436000 is about 31087.5537796077. The cubic root of 966436000 is about 988.6844410815.

The spelling of 966436000 in words is "nine hundred sixty-six million, four hundred thirty-six thousand".