965828664 has 64 divisors (see below), whose sum is σ = 2685830400. Its totient is φ = 321586272.

The previous prime is 965828663. The next prime is 965828671. The reversal of 965828664 is 466828569.

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 965828664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965828663) 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, 254509 + ... + 258275.

It is an arithmetic number, because the mean of its divisors is an integer number (41966100).

Almost surely, 2^965828664 is an apocalyptic number.

It is an amenable number.

965828664 is an abundant number, since it is smaller than the sum of its proper divisors (1720001736).

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

965828664 is a wasteful number, since it uses less digits than its factorization.

965828664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4959 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 965828664 is about 31077.7840908904. The cubic root of 965828664 is about 988.4772918305.

The spelling of 965828664 in words is "nine hundred sixty-five million, eight hundred twenty-eight thousand, six hundred sixty-four".