30368 has 24 divisors (see below), whose sum is σ = 65268. Its totient is φ = 13824.

The previous prime is 30367. The next prime is 30389. The reversal of 30368 is 86303.

30368 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 784 = 172^2 + 28^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30368.

It is not an unprimeable number, because it can be changed into a prime (30367) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 380 + ... + 452.

2³⁰³⁶⁸ 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 30368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32634).

30368 is an abundant number, since it is smaller than the sum of its proper divisors (34900).

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

30368 is a wasteful number, since it uses less digits than its factorization.

30368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 30368 is about 174.2641672863. The cubic root of 30368 is about 31.1988603572.

The spelling of 30368 in words is "thirty thousand, three hundred sixty-eight".