30264 has 32 divisors (see below), whose sum is σ = 82320. Its totient is φ = 9216.

The previous prime is 30259. The next prime is 30269. The reversal of 30264 is 46203.

30264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

30264 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (30259) and next prime (30269).

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264 + ... + 360.

2³⁰²⁶⁴ 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 30264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160).

30264 is an abundant number, since it is smaller than the sum of its proper divisors (52056).

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

30264 is a wasteful number, since it uses less digits than its factorization.

30264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30264 is about 173.9655138239. The cubic root of 30264 is about 31.1632044858.

Adding to 30264 its reverse (46203), we get a palindrome (76467).

The spelling of 30264 in words is "thirty thousand, two hundred sixty-four".