53760240 has 80 divisors (see below), whose sum is σ = 185181600. Its totient is φ = 14335488.

The previous prime is 53760227. The next prime is 53760241. The reversal of 53760240 is 4206735.

It is a happy number.

53760240 is a `hidden beast` number, since 53 + 7 + 602 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 (53760241) 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 15 ways as a sum of consecutive naturals, for example, 10285 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (2314770).

Almost surely, 2^53760240 is an apocalyptic number.

It is an amenable number.

53760240 is an abundant number, since it is smaller than the sum of its proper divisors (131421360).

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

53760240 is a wasteful number, since it uses less digits than its factorization.

53760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24911 (or 24899 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53760240 is about 7332.1374782528. The cubic root of 53760240 is about 377.4160800547.

Adding to 53760240 its reverse (4206735), we get a palindrome (57966975).

The spelling of 53760240 in words is "fifty-three million, seven hundred sixty thousand, two hundred forty".