30045664 has 48 divisors (see below), whose sum is σ = 68339376. Its totient is φ = 12851200.

The previous prime is 30045649. The next prime is 30045667. The reversal of 30045664 is 46654003.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30045667) 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 7 ways as a sum of consecutive naturals, for example, 3474 + ... + 8494.

It is an arithmetic number, because the mean of its divisors is an integer number (1423737).

Almost surely, 2^30045664 is an apocalyptic number.

30045664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34169688).

30045664 is an abundant number, since it is smaller than the sum of its proper divisors (38293712).

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

30045664 is a wasteful number, since it uses less digits than its factorization.

30045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 30045664 is about 5481.3925238027. The cubic root of 30045664 is about 310.8808247452.

Adding to 30045664 its reverse (46654003), we get a palindrome (76699667).

It can be divided in two parts, 3004 and 5664, that added together give a palindrome (8668).

The spelling of 30045664 in words is "thirty million, forty-five thousand, six hundred sixty-four".