30661344 has 144 divisors (see below), whose sum is σ = 101582208. Its totient is φ = 8591616.

The previous prime is 30661339. The next prime is 30661361. The reversal of 30661344 is 44316603.

30661344 is a `hidden beast` number, since 3 + 0 + 6 + 613 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134959 + ... + 135185.

It is an arithmetic number, because the mean of its divisors is an integer number (705432).

Almost surely, 2^30661344 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 30661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104).

30661344 is an abundant number, since it is smaller than the sum of its proper divisors (70920864).

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

30661344 is a wasteful number, since it uses less digits than its factorization.

30661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30661344 is about 5537.2686407650. The cubic root of 30661344 is about 312.9899522815.

Adding to 30661344 its reverse (44316603), we get a palindrome (74977947).

The spelling of 30661344 in words is "thirty million, six hundred sixty-one thousand, three hundred forty-four".