30066144 has 48 divisors (see below), whose sum is σ = 79688448. Its totient is φ = 9924992.

The previous prime is 30066137. The next prime is 30066209. The reversal of 30066144 is 44166003.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8809 + ... + 11735.

It is an arithmetic number, because the mean of its divisors is an integer number (1660176).

Almost surely, 2^30066144 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 30066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39844224).

30066144 is an abundant number, since it is smaller than the sum of its proper divisors (49622304).

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

30066144 is a wasteful number, since it uses less digits than its factorization.

30066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30066144 is about 5483.2603439924. The cubic root of 30066144 is about 310.9514438449.

The spelling of 30066144 in words is "thirty million, sixty-six thousand, one hundred forty-four".