963036864 has 280 divisors, whose sum is σ = 3067007328. Its totient is φ = 298045440.

The previous prime is 963036863. The next prime is 963036889. The reversal of 963036864 is 468630369.

963036864 is a `hidden beast` number, since 9 + 630 + 3 + 6 + 8 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (963036863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4888414 + ... + 4888610.

Almost surely, 2^963036864 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 963036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533503664).

963036864 is an abundant number, since it is smaller than the sum of its proper divisors (2103970464).

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

963036864 is a wasteful number, since it uses less digits than its factorization.

963036864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 963036864 is about 31032.8352555805. The cubic root of 963036864 is about 987.5239501535.

The spelling of 963036864 in words is "nine hundred sixty-three million, thirty-six thousand, eight hundred sixty-four".