30864 has 20 divisors (see below), whose sum is σ = 79856. Its totient is φ = 10272.

The previous prime is 30859. The next prime is 30869. The reversal of 30864 is 46803.

30864 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (30859) and next prime (30869).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 30864.

It is not an unprimeable number, because it can be changed into a prime (30869) by changing a digit.

30864 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 3 ways as a sum of consecutive naturals, for example, 274 + ... + 369.

2³⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

30864 is an abundant number, since it is smaller than the sum of its proper divisors (48992).

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 (39928).

30864 is a wasteful number, since it uses less digits than its factorization.

30864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30864 is about 175.6815300480. The cubic root of 30864 is about 31.3678007111.

The spelling of 30864 in words is "thirty thousand, eight hundred sixty-four".