65363040 has 144 divisors (see below), whose sum is σ = 234889200. Its totient is φ = 16505856.

The previous prime is 65363029. The next prime is 65363057. The reversal of 65363040 is 4036356.

65363040 is a `hidden beast` number, since 653 + 6 + 3 + 0 + 4 + 0 = 666.

65363040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 65362995 and 65363013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26166 + ... + 28554.

It is an arithmetic number, because the mean of its divisors is an integer number (1631175).

Almost surely, 2^65363040 is an apocalyptic number.

65363040 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 65363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117444600).

65363040 is an abundant number, since it is smaller than the sum of its proper divisors (169526160).

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

65363040 is a wasteful number, since it uses less digits than its factorization.

65363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 65363040 is about 8084.7411832414. The cubic root of 65363040 is about 402.8197425884.

Adding to 65363040 its reverse (4036356), we get a palindrome (69399396).

The spelling of 65363040 in words is "sixty-five million, three hundred sixty-three thousand, forty".