963044064 has 144 divisors (see below), whose sum is σ = 2877048720. Its totient is φ = 305141760.

The previous prime is 963044057. The next prime is 963044083. The reversal of 963044064 is 460440369.

963044064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558724 + ... + 560444.

It is an arithmetic number, because the mean of its divisors is an integer number (19979505).

Almost surely, 2^963044064 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 963044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438524360).

963044064 is an abundant number, since it is smaller than the sum of its proper divisors (1914004656).

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

963044064 is a wasteful number, since it uses less digits than its factorization.

963044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 963044064 is about 31032.9512615220. The cubic root of 963044064 is about 987.5264111721.

The spelling of 963044064 in words is "nine hundred sixty-three million, forty-four thousand, sixty-four".