30006264 has 48 divisors (see below), whose sum is σ = 77573160. Its totient is φ = 9672000.

The previous prime is 30006259. The next prime is 30006299. The reversal of 30006264 is 46260003.

It is a self number, because there is not a number n which added to its sum of digits gives 30006264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22414 + ... + 23714.

Almost surely, 2^30006264 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 30006264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786580).

30006264 is an abundant number, since it is smaller than the sum of its proper divisors (47566896).

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

30006264 is a wasteful number, since it uses less digits than its factorization.

30006264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 30006264 is about 5477.7973675557. The cubic root of 30006264 is about 310.7448754286.

Adding to 30006264 its reverse (46260003), we get a palindrome (76266267).

The spelling of 30006264 in words is "thirty million, six thousand, two hundred sixty-four".