964749312 has 192 divisors, whose sum is σ = 2909088000. Its totient is φ = 315850752.

The previous prime is 964749287. The next prime is 964749323. The reversal of 964749312 is 213947469.

It is a happy number.

964749312 is a `hidden beast` number, since 96 + 474 + 93 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4036489 + ... + 4036727.

It is an arithmetic number, because the mean of its divisors is an integer number (15151500).

Almost surely, 2^964749312 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 964749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454544000).

964749312 is an abundant number, since it is smaller than the sum of its proper divisors (1944338688).

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

964749312 is a wasteful number, since it uses less digits than its factorization.

964749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 964749312 is about 31060.4139058062. The cubic root of 964749312 is about 988.1089336636.

The spelling of 964749312 in words is "nine hundred sixty-four million, seven hundred forty-nine thousand, three hundred twelve".