963303840 has 240 divisors, whose sum is σ = 3424861440. Its totient is φ = 254983680.

The previous prime is 963303821. The next prime is 963303863. The reversal of 963303840 is 48303369.

963303840 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 (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 963303795 and 963303804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3097285 + ... + 3097595.

It is an arithmetic number, because the mean of its divisors is an integer number (14270256).

Almost surely, 2^963303840 is an apocalyptic number.

963303840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712430720).

963303840 is an abundant number, since it is smaller than the sum of its proper divisors (2461557600).

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

963303840 is a wasteful number, since it uses less digits than its factorization.

963303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 963303840 is about 31037.1364658533. The cubic root of 963303840 is about 987.6151965169.

The spelling of 963303840 in words is "nine hundred sixty-three million, three hundred three thousand, eight hundred forty".