963338688 has 168 divisors, whose sum is σ = 3000012288. Its totient is φ = 293787648.

The previous prime is 963338681. The next prime is 963338713. The reversal of 963338688 is 886833369.

It is a super-2 number, since 2×963338688² = 1856042855595122688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963338681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950470 + ... + 951482.

It is an arithmetic number, because the mean of its divisors is an integer number (17857216).

Almost surely, 2^963338688 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 963338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500006144).

963338688 is an abundant number, since it is smaller than the sum of its proper divisors (2036673600).

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

963338688 is a wasteful number, since it uses less digits than its factorization.

963338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 963338688 is about 31037.6978527725. The cubic root of 963338688 is about 987.6271055318.

The spelling of 963338688 in words is "nine hundred sixty-three million, three hundred thirty-eight thousand, six hundred eighty-eight".