30053664 has 72 divisors (see below), whose sum is σ = 86017932. Its totient is φ = 9953280.

The previous prime is 30053623. The next prime is 30053693. The reversal of 30053664 is 46635003.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 242064 = 5460^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69192 + ... + 69624.

Almost surely, 2^30053664 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 30053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008966).

30053664 is an abundant number, since it is smaller than the sum of its proper divisors (55964268).

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

30053664 is a wasteful number, since it uses less digits than its factorization.

30053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 30053664 is about 5482.1222168062. The cubic root of 30053664 is about 310.9084141493.

Adding to 30053664 its reverse (46635003), we get a palindrome (76688667).

The spelling of 30053664 in words is "thirty million, fifty-three thousand, six hundred sixty-four".