963911916 has 72 divisors (see below), whose sum is σ = 2670018624. Its totient is φ = 290780640.

The previous prime is 963911911. The next prime is 963911953. The reversal of 963911916 is 619119369.

963911916 is a `hidden beast` number, since 9 + 639 + 1 + 1 + 9 + 1 + 6 = 666.

It is a super-3 number, since 3×963911916³ (a number of 28 digits) contains 333 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 (963911911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84531 + ... + 95253.

It is an arithmetic number, because the mean of its divisors is an integer number (37083592).

Almost surely, 2^963911916 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 963911916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335009312).

963911916 is an abundant number, since it is smaller than the sum of its proper divisors (1706106708).

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

963911916 is a wasteful number, since it uses less digits than its factorization.

963911916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10971 (or 10966 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 963911916 is about 31046.9308628083. The cubic root of 963911916 is about 987.8229602411.

The spelling of 963911916 in words is "nine hundred sixty-three million, nine hundred eleven thousand, nine hundred sixteen".