65344320 has 140 divisors (see below), whose sum is σ = 232533444. Its totient is φ = 17418240.

The previous prime is 65344319. The next prime is 65344327. The reversal of 65344320 is 2344356.

65344320 is a `hidden beast` number, since 653 + 4 + 4 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 58247424 = 2664^2 + 7632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65344327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24660 + ... + 27180.

Almost surely, 2^65344320 is an apocalyptic number.

65344320 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 65344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116266722).

65344320 is an abundant number, since it is smaller than the sum of its proper divisors (167189124).

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

65344320 is a wasteful number, since it uses less digits than its factorization.

65344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 65344320 is about 8083.5833638307. The cubic root of 65344320 is about 402.7812830064.

Adding to 65344320 its reverse (2344356), we get a palindrome (67688676).

The spelling of 65344320 in words is "sixty-five million, three hundred forty-four thousand, three hundred twenty".