30066560 has 64 divisors (see below), whose sum is σ = 72705600. Its totient is φ = 11888640.

The previous prime is 30066551. The next prime is 30066581. The reversal of 30066560 is 6566003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×30066560³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 69545 + ... + 69975.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^30066560 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 30066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352800).

30066560 is an abundant number, since it is smaller than the sum of its proper divisors (42639040).

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

30066560 is a wasteful number, since it uses less digits than its factorization.

30066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 30066560 is about 5483.2982774969. The cubic root of 30066560 is about 310.9528779630.

The spelling of 30066560 in words is "thirty million, sixty-six thousand, five hundred sixty".