965385216 has 220 divisors, whose sum is σ = 2936577072. Its totient is φ = 315850752.

The previous prime is 965385209. The next prime is 965385227. The reversal of 965385216 is 612583569.

965385216 is a `hidden beast` number, since 96 + 5 + 38 + 521 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8543176 + ... + 8543288.

Almost surely, 2^965385216 is an apocalyptic number.

965385216 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 965385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468288536).

965385216 is an abundant number, since it is smaller than the sum of its proper divisors (1971191856).

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

965385216 is a wasteful number, since it uses less digits than its factorization.

965385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 965385216 is about 31070.6487862742. The cubic root of 965385216 is about 988.3259863946.

The spelling of 965385216 in words is "nine hundred sixty-five million, three hundred eighty-five thousand, two hundred sixteen".