306888 has 32 divisors (see below), whose sum is σ = 808800. Its totient is φ = 96768.

The previous prime is 306883. The next prime is 306893. The reversal of 306888 is 888603.

It is an interprime number because it is at equal distance from previous prime (306883) and next prime (306893).

It is not an unprimeable number, because it can be changed into a prime (306883) by changing a digit.

306888 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, 120 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (25275).

2³⁰⁶⁸⁸⁸ is an apocalyptic number.

306888 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404400).

306888 is an abundant number, since it is smaller than the sum of its proper divisors (501912).

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

306888 is a wasteful number, since it uses less digits than its factorization.

306888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 306888 is about 553.9747286655. The cubic root of 306888 is about 67.4517625185.

The spelling of 306888 in words is "three hundred six thousand, eight hundred eighty-eight".