965936664 has 288 divisors, whose sum is σ = 3401049600. Its totient is φ = 249842880.

The previous prime is 965936663. The next prime is 965936701. The reversal of 965936664 is 466639569.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 965936664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965936663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4041457 + ... + 4041695.

It is an arithmetic number, because the mean of its divisors is an integer number (11809200).

Almost surely, 2^965936664 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 965936664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700524800).

965936664 is an abundant number, since it is smaller than the sum of its proper divisors (2435112936).

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

965936664 is a wasteful number, since it uses less digits than its factorization.

965936664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 965936664 is about 31079.5216179400. The cubic root of 965936664 is about 988.5141346553.

The spelling of 965936664 in words is "nine hundred sixty-five million, nine hundred thirty-six thousand, six hundred sixty-four".