305088 has 56 divisors (see below), whose sum is σ = 926592. Its totient is φ = 86784.

The previous prime is 305069. The next prime is 305093. The reversal of 305088 is 880503.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

305088 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 7 ways as a sum of consecutive naturals, for example, 1231 + ... + 1457.

2³⁰⁵⁰⁸⁸ 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 305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463296).

305088 is an abundant number, since it is smaller than the sum of its proper divisors (621504).

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

305088 is a wasteful number, since it uses less digits than its factorization.

305088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 305088 is about 552.3477165699. The cubic root of 305088 is about 67.3196281836.

The spelling of 305088 in words is "three hundred five thousand, eighty-eight".