30663648 has 72 divisors (see below), whose sum is σ = 92343888. Its totient is φ = 9618432.

The previous prime is 30663637. The next prime is 30663649. The reversal of 30663648 is 84636603.

30663648 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 3 + 648 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30663649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1765 + ... + 8027.

It is an arithmetic number, because the mean of its divisors is an integer number (1282554).

Almost surely, 2^30663648 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 30663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46171944).

30663648 is an abundant number, since it is smaller than the sum of its proper divisors (61680240).

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

30663648 is a wasteful number, since it uses less digits than its factorization.

30663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 30663648 is about 5537.4766816665. The cubic root of 30663648 is about 312.9977918029.

The spelling of 30663648 in words is "thirty million, six hundred sixty-three thousand, six hundred forty-eight".