965366016 has 144 divisors (see below), whose sum is σ = 2653635264. Its totient is φ = 311427072.

The previous prime is 965366011. The next prime is 965366057. The reversal of 965366016 is 610663569.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (965366011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3756160 + ... + 3756416.

Almost surely, 2^965366016 is an apocalyptic number.

965366016 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 965366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326817632).

965366016 is an abundant number, since it is smaller than the sum of its proper divisors (1688269248).

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

965366016 is a wasteful number, since it uses less digits than its factorization.

965366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 965366016 is about 31070.3398114665. The cubic root of 965366016 is about 988.3194342659.

The spelling of 965366016 in words is "nine hundred sixty-five million, three hundred sixty-six thousand, sixteen".