30123648 has 96 divisors (see below), whose sum is σ = 88046400. Its totient is φ = 9884160.

The previous prime is 30123631. The next prime is 30123659. The reversal of 30123648 is 84632103.

It is a happy number.

30123648 is a `hidden beast` number, since 3 + 0 + 12 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 90843 + ... + 91173.

It is an arithmetic number, because the mean of its divisors is an integer number (917150).

Almost surely, 2^30123648 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 30123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44023200).

30123648 is an abundant number, since it is smaller than the sum of its proper divisors (57922752).

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

30123648 is a wasteful number, since it uses less digits than its factorization.

30123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30123648 is about 5488.5014348181. The cubic root of 30123648 is about 311.1495577581.

The spelling of 30123648 in words is "thirty million, one hundred twenty-three thousand, six hundred forty-eight".