964812816 has 160 divisors (see below), whose sum is σ = 3039805440. Its totient is φ = 290563200.

The previous prime is 964812791. The next prime is 964812841. The reversal of 964812816 is 618218469.

964812816 is a `hidden beast` number, since 96 + 481 + 2 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (964812791) and next prime (964812841).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907101 + ... + 908163.

It is an arithmetic number, because the mean of its divisors is an integer number (18998784).

Almost surely, 2^964812816 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 964812816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519902720).

964812816 is an abundant number, since it is smaller than the sum of its proper divisors (2074992624).

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

964812816 is a wasteful number, since it uses less digits than its factorization.

964812816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1270 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 964812816 is about 31061.4361548207. The cubic root of 964812816 is about 988.1306137319.

The spelling of 964812816 in words is "nine hundred sixty-four million, eight hundred twelve thousand, eight hundred sixteen".