30688 has 24 divisors (see below), whose sum is σ = 69552. Its totient is φ = 13056.

The previous prime is 30677. The next prime is 30689. The reversal of 30688 is 88603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (2898).

2³⁰⁶⁸⁸ 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 30688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34776).

30688 is an abundant number, since it is smaller than the sum of its proper divisors (38864).

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

30688 is a wasteful number, since it uses less digits than its factorization.

30688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 30688 is about 175.1799075237. The cubic root of 30688 is about 31.3080627189.

The spelling of 30688 in words is "thirty thousand, six hundred eighty-eight".