965649984 has 112 divisors (see below), whose sum is σ = 2790748800. Its totient is φ = 292884480.

The previous prime is 965649967. The next prime is 965650003. The reversal of 965649984 is 489946569.

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 15 ways as a sum of consecutive naturals, for example, 174492 + ... + 179940.

It is an arithmetic number, because the mean of its divisors is an integer number (24917400).

Almost surely, 2^965649984 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 965649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395374400).

965649984 is an abundant number, since it is smaller than the sum of its proper divisors (1825098816).

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

965649984 is a wasteful number, since it uses less digits than its factorization.

965649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5538 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The square root of 965649984 is about 31074.9092355875. The cubic root of 965649984 is about 988.4163313925.

The spelling of 965649984 in words is "nine hundred sixty-five million, six hundred forty-nine thousand, nine hundred eighty-four".