963768960 has 768 divisors, whose sum is σ = 4330609920. Its totient is φ = 191692800.

The previous prime is 963768943. The next prime is 963768973. The reversal of 963768960 is 69867369.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 963768897 and 963768906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18184294 + ... + 18184346.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^963768960 is an apocalyptic number.

963768960 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 963768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

963768960 is an abundant number, since it is smaller than the sum of its proper divisors (3366840960).

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

963768960 is a wasteful number, since it uses less digits than its factorization.

963768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 963768960 is about 31044.6285208891. The cubic root of 963768960 is about 987.7741237591.

The spelling of 963768960 in words is "nine hundred sixty-three million, seven hundred sixty-eight thousand, nine hundred sixty".