65643120 has 240 divisors, whose sum is σ = 242341632. Its totient is φ = 15851520.

The previous prime is 65643077. The next prime is 65643131. The reversal of 65643120 is 2134656.

65643120 is a `hidden beast` number, since 6 + 5 + 643 + 12 + 0 = 666.

65643120 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 (240).

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 47 ways as a sum of consecutive naturals, for example, 379354 + ... + 379526.

Almost surely, 2^65643120 is an apocalyptic number.

65643120 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 65643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170816).

65643120 is an abundant number, since it is smaller than the sum of its proper divisors (176698512).

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

65643120 is a wasteful number, since it uses less digits than its factorization.

65643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65643120 is about 8102.0441865001. The cubic root of 65643120 is about 403.3942823147.

Adding to 65643120 its reverse (2134656), we get a palindrome (67777776).

The spelling of 65643120 in words is "sixty-five million, six hundred forty-three thousand, one hundred twenty".