30268 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 12144.

The previous prime is 30259. The next prime is 30269. The reversal of 30268 is 86203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30269) by changing a digit.

30268 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, 621 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

2³⁰²⁶⁸ 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 30268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

30268 is an abundant number, since it is smaller than the sum of its proper divisors (34244).

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

30268 is a wasteful number, since it uses less digits than its factorization.

30268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30268 is about 173.9770099755. The cubic root of 30268 is about 31.1645773746.

The spelling of 30268 in words is "thirty thousand, two hundred sixty-eight".