30888 has 64 divisors (see below), whose sum is σ = 100800. Its totient is φ = 8640.

The previous prime is 30881. The next prime is 30893. The reversal of 30888 is 88803.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30888.

It is not an unprimeable number, because it can be changed into a prime (30881) by changing a digit.

30888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2370 + ... + 2382.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

2³⁰⁸⁸⁸ 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 30888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

30888 is an abundant number, since it is smaller than the sum of its proper divisors (69912).

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

30888 is a wasteful number, since it uses less digits than its factorization.

30888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 30888 is about 175.7498221905. The cubic root of 30888 is about 31.3759291905.

The spelling of 30888 in words is "thirty thousand, eight hundred eighty-eight".