305888 has 36 divisors (see below), whose sum is σ = 670320. Its totient is φ = 137280.

The previous prime is 305873. The next prime is 305917. The reversal of 305888 is 888503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305888.

It is an unprimeable number.

305888 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, 3833 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2³⁰⁵⁸⁸⁸ 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 305888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

305888 is an abundant number, since it is smaller than the sum of its proper divisors (364432).

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

305888 is a wasteful number, since it uses less digits than its factorization.

305888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 305888 is about 553.0714239590. The cubic root of 305888 is about 67.3784185410.

305888 divided by its sum of digits (32) gives a palindrome (9559).

The spelling of 305888 in words is "three hundred five thousand, eight hundred eighty-eight".