963233964 has 144 divisors (see below), whose sum is σ = 3169272960. Its totient is φ = 250175520.

The previous prime is 963233939. The next prime is 963233989. The reversal of 963233964 is 469332369.

963233964 is a `hidden beast` number, since 9 + 632 + 3 + 3 + 9 + 6 + 4 = 666.

963233964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (963233939) and next prime (963233989).

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 47 ways as a sum of consecutive naturals, for example, 49939 + ... + 66485.

It is an arithmetic number, because the mean of its divisors is an integer number (22008840).

Almost surely, 2^963233964 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 963233964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584636480).

963233964 is an abundant number, since it is smaller than the sum of its proper divisors (2206038996).

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

963233964 is a wasteful number, since it uses less digits than its factorization.

963233964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585 (or 16570 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 963233964 is about 31036.0107616942. The cubic root of 963233964 is about 987.5913161082.

The spelling of 963233964 in words is "nine hundred sixty-three million, two hundred thirty-three thousand, nine hundred sixty-four".