963946116 has 96 divisors (see below), whose sum is σ = 2948341760. Its totient is φ = 266522400.

The previous prime is 963946097. The next prime is 963946117. The reversal of 963946116 is 611649369.

963946116 is a `hidden beast` number, since 9 + 639 + 4 + 6 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×963946116² = 1858384229102970912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (963946117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2871 + ... + 44001.

Almost surely, 2^963946116 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 963946116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474170880).

963946116 is an abundant number, since it is smaller than the sum of its proper divisors (1984395644).

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

963946116 is a wasteful number, since it uses less digits than its factorization.

963946116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41182 (or 41174 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 963946116 is about 31047.4816370024. The cubic root of 963946116 is about 987.8346428942.

It can be divided in two parts, 9639 and 46116, that added together give a palindrome (55755).

The spelling of 963946116 in words is "nine hundred sixty-three million, nine hundred forty-six thousand, one hundred sixteen".