966208824 has 384 divisors, whose sum is σ = 3386073600. Its totient is φ = 251942400.

The previous prime is 966208811. The next prime is 966208847. The reversal of 966208824 is 428802669.

It is a self number, because there is not a number n which added to its sum of digits gives 966208824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9566374 + ... + 9566474.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^966208824 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 966208824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693036800).

966208824 is an abundant number, since it is smaller than the sum of its proper divisors (2419864776).

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

966208824 is a wasteful number, since it uses less digits than its factorization.

966208824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 966208824 is about 31083.8997553396. The cubic root of 966208824 is about 988.6069663951.

The spelling of 966208824 in words is "nine hundred sixty-six million, two hundred eight thousand, eight hundred twenty-four".