65966544 has 90 divisors (see below), whose sum is σ = 214778850. Its totient is φ = 18845568.

The previous prime is 65966539. The next prime is 65966557. The reversal of 65966544 is 44566956.

65966544 is a `hidden beast` number, since 6 + 596 + 6 + 54 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 2286144 = 7980^2 + 1512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 65966544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2382 + ... + 11730.

Almost surely, 2^65966544 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 65966544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107389425).

65966544 is an abundant number, since it is smaller than the sum of its proper divisors (148812306).

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

65966544 is a wasteful number, since it uses less digits than its factorization.

65966544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9361 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 65966544 is about 8121.9790691678. The cubic root of 65966544 is about 404.0557058108.

The spelling of 65966544 in words is "sixty-five million, nine hundred sixty-six thousand, five hundred forty-four".