65205888 has 128 divisors (see below), whose sum is σ = 193881600. Its totient is φ = 19246080.

The previous prime is 65205883. The next prime is 65205913. The reversal of 65205888 is 88850256.

65205888 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65205883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181453 + ... + 181811.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 2^65205888 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 65205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

65205888 is an abundant number, since it is smaller than the sum of its proper divisors (128675712).

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

65205888 is a wasteful number, since it uses less digits than its factorization.

65205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 65205888 is about 8075.0162848133. The cubic root of 65205888 is about 402.4966510787.

The spelling of 65205888 in words is "sixty-five million, two hundred five thousand, eight hundred eighty-eight".