963360216 has 480 divisors, whose sum is σ = 3633426720. Its totient is φ = 231413760.

The previous prime is 963360197. The next prime is 963360217. The reversal of 963360216 is 612063369.

963360216 is a `hidden beast` number, since 9 + 6 + 33 + 602 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963360217) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31076121 + ... + 31076151.

It is an arithmetic number, because the mean of its divisors is an integer number (7569639).

Almost surely, 2^963360216 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 963360216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816713360).

963360216 is an abundant number, since it is smaller than the sum of its proper divisors (2670066504).

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

963360216 is a wasteful number, since it uses less digits than its factorization.

963360216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 963360216 is about 31038.0446549070. The cubic root of 963360216 is about 987.6344624037.

The spelling of 963360216 in words is "nine hundred sixty-three million, three hundred sixty thousand, two hundred sixteen".