65800224 has 144 divisors (see below), whose sum is σ = 216373248. Its totient is φ = 18579456.

The previous prime is 65800223. The next prime is 65800243. The reversal of 65800224 is 42200856.

65800224 is a `hidden beast` number, since 658 + 0 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (65800223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255904 + ... + 256160.

It is an arithmetic number, because the mean of its divisors is an integer number (1502592).

Almost surely, 2^65800224 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 65800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108186624).

65800224 is an abundant number, since it is smaller than the sum of its proper divisors (150573024).

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

65800224 is a wasteful number, since it uses less digits than its factorization.

65800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 65800224 is about 8111.7337234404. The cubic root of 65800224 is about 403.7158410908.

The spelling of 65800224 in words is "sixty-five million, eight hundred thousand, two hundred twenty-four".