30560 has 24 divisors (see below), whose sum is σ = 72576. Its totient is φ = 12160.

The previous prime is 30559. The next prime is 30577. The reversal of 30560 is 6503.

It is a happy number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁰⁵⁶⁰ 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 30560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

30560 is an abundant number, since it is smaller than the sum of its proper divisors (42016).

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

30560 is a wasteful number, since it uses less digits than its factorization.

30560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 30560 is about 174.8141870673. The cubic root of 30560 is about 31.2644732957.

The spelling of 30560 in words is "thirty thousand, five hundred sixty".