30768 has 20 divisors (see below), whose sum is σ = 79608. Its totient is φ = 10240.

The previous prime is 30763. The next prime is 30773. The reversal of 30768 is 86703.

It is an interprime number because it is at equal distance from previous prime (30763) and next prime (30773).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (30763) 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, 273 + ... + 368.

2³⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

30768 is an abundant number, since it is smaller than the sum of its proper divisors (48840).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39804).

30768 is a wasteful number, since it uses less digits than its factorization.

30768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 30768 is about 175.4080955942. The cubic root of 30768 is about 31.3352445894.

The spelling of 30768 in words is "thirty thousand, seven hundred sixty-eight".