964317312 has 384 divisors, whose sum is σ = 3397954560. Its totient is φ = 266499072.

The previous prime is 964317307. The next prime is 964317373. The reversal of 964317312 is 213713469.

964317312 is a `hidden beast` number, since 9 + 643 + 1 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9362253 + ... + 9362355.

It is an arithmetic number, because the mean of its divisors is an integer number (8848840).

Almost surely, 2^964317312 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 964317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698977280).

964317312 is an abundant number, since it is smaller than the sum of its proper divisors (2433637248).

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

964317312 is a wasteful number, since it uses less digits than its factorization.

964317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 964317312 is about 31053.4589377737. The cubic root of 964317312 is about 987.9614249501.

The spelling of 964317312 in words is "nine hundred sixty-four million, three hundred seventeen thousand, three hundred twelve".