963819216 has 160 divisors (see below), whose sum is σ = 3009271680. Its totient is φ = 294119424.

The previous prime is 963819211. The next prime is 963819217. The reversal of 963819216 is 612918369.

It is a happy number.

963819216 is a `hidden beast` number, since 9 + 638 + 1 + 9 + 2 + 1 + 6 = 666.

It is a super-2 number, since 2×963819216² = 1857894962261709312, which contains 22 as substring.

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 (963819211) 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, 269955 + ... + 273501.

It is an arithmetic number, because the mean of its divisors is an integer number (18807948).

Almost surely, 2^963819216 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 963819216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504635840).

963819216 is an abundant number, since it is smaller than the sum of its proper divisors (2045452464).

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

963819216 is a wasteful number, since it uses less digits than its factorization.

963819216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3606 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 963819216 is about 31045.4379257243. The cubic root of 963819216 is about 987.7912927126.

The spelling of 963819216 in words is "nine hundred sixty-three million, eight hundred nineteen thousand, two hundred sixteen".