963112960 has 208 divisors, whose sum is σ = 2509984512. Its totient is φ = 353894400.

The previous prime is 963112949. The next prime is 963112961. The reversal of 963112960 is 69211369.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963112961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23490540 + ... + 23490580.

Almost surely, 2^963112960 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 963112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254992256).

963112960 is an abundant number, since it is smaller than the sum of its proper divisors (1546871552).

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

963112960 is a wasteful number, since it uses less digits than its factorization.

963112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 963112960 is about 31034.0612875595. The cubic root of 963112960 is about 987.5499597648.

The spelling of 963112960 in words is "nine hundred sixty-three million, one hundred twelve thousand, nine hundred sixty".