965661264 has 100 divisors (see below), whose sum is σ = 2817391104. Its totient is φ = 319298112.

The previous prime is 965661247. The next prime is 965661269. The reversal of 965661264 is 462166569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965661269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 161659 + ... + 167525.

Almost surely, 2^965661264 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 965661264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408695552).

965661264 is an abundant number, since it is smaller than the sum of its proper divisors (1851729840).

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

965661264 is a wasteful number, since it uses less digits than its factorization.

965661264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014 (or 5999 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 965661264 is about 31075.0907319673. The cubic root of 965661264 is about 988.4201800240.

The spelling of 965661264 in words is "nine hundred sixty-five million, six hundred sixty-one thousand, two hundred sixty-four".