966134400 has 384 divisors, whose sum is σ = 3970460160. Its totient is φ = 200601600.

The previous prime is 966134383. The next prime is 966134413. The reversal of 966134400 is 4431669.

966134400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738547 + ... + 739853.

It is an arithmetic number, because the mean of its divisors is an integer number (10339740).

Almost surely, 2^966134400 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 966134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985230080).

966134400 is an abundant number, since it is smaller than the sum of its proper divisors (3004325760).

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

966134400 is a wasteful number, since it uses less digits than its factorization.

966134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 966134400 is about 31082.7025852000. The cubic root of 966134400 is about 988.5815826574.

The spelling of 966134400 in words is "nine hundred sixty-six million, one hundred thirty-four thousand, four hundred".