963585568 has 96 divisors (see below), whose sum is σ = 2202863040. Its totient is φ = 410050560.

The previous prime is 963585541. The next prime is 963585569. The reversal of 963585568 is 865585369.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (963585569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693188 + ... + 1693756.

It is an arithmetic number, because the mean of its divisors is an integer number (22946490).

Almost surely, 2^963585568 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 963585568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101431520).

963585568 is an abundant number, since it is smaller than the sum of its proper divisors (1239277472).

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

963585568 is a wasteful number, since it uses less digits than its factorization.

963585568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 55.

The square root of 963585568 is about 31041.6746970907. The cubic root of 963585568 is about 987.7114665003.

It can be divided in two parts, 96358 and 5568, that added together give a triangular number (101926 = T₄₅₁).

The spelling of 963585568 in words is "nine hundred sixty-three million, five hundred eighty-five thousand, five hundred sixty-eight".