966519984 has 120 divisors (see below), whose sum is σ = 2695113216. Its totient is φ = 297897600.

The previous prime is 966519971. The next prime is 966520043. The reversal of 966519984 is 489915669.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060489 + ... + 1061399.

Almost surely, 2^966519984 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 966519984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347556608).

966519984 is an abundant number, since it is smaller than the sum of its proper divisors (1728593232).

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

966519984 is a wasteful number, since it uses less digits than its factorization.

966519984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 970 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 966519984 is about 31088.9045159201. The cubic root of 966519984 is about 988.7130793872.

The spelling of 966519984 in words is "nine hundred sixty-six million, five hundred nineteen thousand, nine hundred eighty-four".