966423744 has 224 divisors, whose sum is σ = 3338657280. Its totient is φ = 270259200.

The previous prime is 966423743. The next prime is 966423763. The reversal of 966423744 is 447324669.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 966423744.

It is not an unprimeable number, because it can be changed into a prime (966423743) 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, 245149 + ... + 249059.

It is an arithmetic number, because the mean of its divisors is an integer number (14904720).

Almost surely, 2^966423744 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 966423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669328640).

966423744 is an abundant number, since it is smaller than the sum of its proper divisors (2372233536).

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

966423744 is a wasteful number, since it uses less digits than its factorization.

966423744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3940 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 966423744 is about 31087.3566582944. The cubic root of 966423744 is about 988.6802616815.

The spelling of 966423744 in words is "nine hundred sixty-six million, four hundred twenty-three thousand, seven hundred forty-four".