966904224 has 288 divisors, whose sum is σ = 3171954240. Its totient is φ = 255467520.

The previous prime is 966904217. The next prime is 966904231. The reversal of 966904224 is 422409669.

It is an interprime number because it is at equal distance from previous prime (966904217) and next prime (966904231).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2868984 + ... + 2869320.

It is an arithmetic number, because the mean of its divisors is an integer number (11013730).

Almost surely, 2^966904224 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 966904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585977120).

966904224 is an abundant number, since it is smaller than the sum of its proper divisors (2205050016).

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

966904224 is a wasteful number, since it uses less digits than its factorization.

966904224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 966904224 is about 31095.0835985369. The cubic root of 966904224 is about 988.8440829835.

The spelling of 966904224 in words is "nine hundred sixty-six million, nine hundred four thousand, two hundred twenty-four".