965918016 has 168 divisors, whose sum is σ = 3241877184. Its totient is φ = 269199360.

The previous prime is 965918003. The next prime is 965918017. The reversal of 965918016 is 610819569.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×965918016² = 1865995227266752512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965918017) 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, 162391 + ... + 168233.

It is an arithmetic number, because the mean of its divisors is an integer number (19296888).

Almost surely, 2^965918016 is an apocalyptic number.

965918016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620938592).

965918016 is an abundant number, since it is smaller than the sum of its proper divisors (2275959168).

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

965918016 is a wasteful number, since it uses less digits than its factorization.

965918016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 965918016 is about 31079.2216118744. The cubic root of 965918016 is about 988.5077733237.

The spelling of 965918016 in words is "nine hundred sixty-five million, nine hundred eighteen thousand, sixteen".