65088 has 42 divisors (see below), whose sum is σ = 188214. Its totient is φ = 21504.

The previous prime is 65071. The next prime is 65089. The reversal of 65088 is 88056.

65088 is a `hidden beast` number, since 650 + 8 + 8 = 666.

65088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 28224 = 192^2 + 168^2 .

It is a nialpdrome in base 4 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65088.

It is not an unprimeable number, because it can be changed into a prime (65089) by changing a digit.

65088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 520 + ... + 632.

2⁶⁵⁰⁸⁸ 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 65088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94107).

65088 is an abundant number, since it is smaller than the sum of its proper divisors (123126).

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

65088 is a wasteful number, since it uses less digits than its factorization.

65088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 65088 is about 255.1234995056. The cubic root of 65088 is about 40.2253942173.

The spelling of 65088 in words is "sixty-five thousand, eighty-eight".