65944320 has 144 divisors (see below), whose sum is σ = 226982112. Its totient is φ = 16220160.

The previous prime is 65944301. The next prime is 65944321. The reversal of 65944320 is 2344956.

65944320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65944321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49260 + ... + 50580.

Almost surely, 2^65944320 is an apocalyptic number.

65944320 is a gapful number since it is divisible by the number (60) 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 65944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113491056).

65944320 is an abundant number, since it is smaller than the sum of its proper divisors (161037792).

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

65944320 is a wasteful number, since it uses less digits than its factorization.

65944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 65944320 is about 8120.6108144646. The cubic root of 65944320 is about 404.0103255211.

The spelling of 65944320 in words is "sixty-five million, nine hundred forty-four thousand, three hundred twenty".