964512 has 72 divisors (see below), whose sum is σ = 2918916. Its totient is φ = 301056.

The previous prime is 964507. The next prime is 964517. The reversal of 964512 is 215469.

964512 is a `hidden beast` number, since 9 + 645 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (964507) and next prime (964517).

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 197136 = 876^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (964517) by changing a digit.

964512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4798 + ... + 4994.

2⁹⁶⁴⁵¹² 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 964512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459458).

964512 is an abundant number, since it is smaller than the sum of its proper divisors (1954404).

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

964512 is a wasteful number, since it uses less digits than its factorization.

964512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 964512 is about 982.0957183493. The cubic root of 964512 is about 98.8027907662.

The spelling of 964512 in words is "nine hundred sixty-four thousand, five hundred twelve".