30564468 has 72 divisors (see below), whose sum is σ = 85438080. Its totient is φ = 9135360.

The previous prime is 30564467. The next prime is 30564473. The reversal of 30564468 is 86446503.

30564468 is a `hidden beast` number, since 3 + 0 + 5 + 644 + 6 + 8 = 666.

It is a super-3 number, since 3×30564468³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30564467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30796 + ... + 31772.

It is an arithmetic number, because the mean of its divisors is an integer number (1186640).

Almost surely, 2^30564468 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 30564468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42719040).

30564468 is an abundant number, since it is smaller than the sum of its proper divisors (54873612).

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

30564468 is a wasteful number, since it uses less digits than its factorization.

30564468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 30564468 is about 5528.5140860814. The cubic root of 30564468 is about 312.6599688712.

The spelling of 30564468 in words is "thirty million, five hundred sixty-four thousand, four hundred sixty-eight".