964086984 has 96 divisors (see below), whose sum is σ = 2996360640. Its totient is φ = 274320000.

The previous prime is 964086971. The next prime is 964087027. The reversal of 964086984 is 489680469.

It is a self number, because there is not a number n which added to its sum of digits gives 964086984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122694 + ... + 130314.

It is an arithmetic number, because the mean of its divisors is an integer number (31212090).

Almost surely, 2^964086984 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 964086984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498180320).

964086984 is an abundant number, since it is smaller than the sum of its proper divisors (2032273656).

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

964086984 is a wasteful number, since it uses less digits than its factorization.

964086984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7891 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 964086984 is about 31049.7501439223. The cubic root of 964086984 is about 987.8827602147.

The spelling of 964086984 in words is "nine hundred sixty-four million, eighty-six thousand, nine hundred eighty-four".