65888 has 24 divisors (see below), whose sum is σ = 136080. Its totient is φ = 31360.

The previous prime is 65881. The next prime is 65899. The reversal of 65888 is 88856.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65881) by changing a digit.

65888 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 3 ways as a sum of consecutive naturals, for example, 893 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁵⁸⁸⁸ 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 65888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

65888 is an abundant number, since it is smaller than the sum of its proper divisors (70192).

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

65888 is a wasteful number, since it uses less digits than its factorization.

65888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 65888 is about 256.6865793142. The cubic root of 65888 is about 40.3895277239.

The spelling of 65888 in words is "sixty-five thousand, eight hundred eighty-eight".