30864564 has 30 divisors (see below), whose sum is σ = 80686914. Its totient is φ = 10288080.

The previous prime is 30864563. The next prime is 30864601. The reversal of 30864564 is 46546803.

30864564 is a `hidden beast` number, since 3 + 0 + 8 + 645 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20250000 + 10614564 = 4500^2 + 3258^2 .

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 (30864563) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47307 + ... + 47954.

Almost surely, 2^30864564 is an apocalyptic number.

It is an amenable number.

30864564 is an abundant number, since it is smaller than the sum of its proper divisors (49822350).

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

30864564 is a wasteful number, since it uses less digits than its factorization.

30864564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95277 (or 95266 counting only the distinct ones).

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

The square root of 30864564 is about 5555.5885376799. The cubic root of 30864564 is about 313.6799177871.

The spelling of 30864564 in words is "thirty million, eight hundred sixty-four thousand, five hundred sixty-four".