963876816 has 120 divisors (see below), whose sum is σ = 3125345600. Its totient is φ = 271600128.

The previous prime is 963876791. The next prime is 963876817. The reversal of 963876816 is 618678369.

It is a happy number.

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 (963876817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67035 + ... + 80133.

Almost surely, 2^963876816 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 963876816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562672800).

963876816 is an abundant number, since it is smaller than the sum of its proper divisors (2161468784).

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

963876816 is a wasteful number, since it uses less digits than its factorization.

963876816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13184 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 963876816 is about 31046.3655843965. The cubic root of 963876816 is about 987.8109698624.

The spelling of 963876816 in words is "nine hundred sixty-three million, eight hundred seventy-six thousand, eight hundred sixteen".