30288564 has 18 divisors (see below), whose sum is σ = 76562850. Its totient is φ = 10096176.

The previous prime is 30288563. The next prime is 30288647. The reversal of 30288564 is 46588203.

It can be written as a sum of positive squares in only one way, i.e., 24088464 + 6200100 = 4908^2 + 2490^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 841349 = 30288564 / (3 + 0 + 2 + 8 + 8 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30288563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420639 + ... + 420710.

Almost surely, 2^30288564 is an apocalyptic number.

It is an amenable number.

30288564 is an abundant number, since it is smaller than the sum of its proper divisors (46274286).

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

30288564 is a wasteful number, since it uses less digits than its factorization.

30288564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841359 (or 841354 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 30288564 is about 5503.5047015515. The cubic root of 30288564 is about 311.7163348768.

The spelling of 30288564 in words is "thirty million, two hundred eighty-eight thousand, five hundred sixty-four".