30816648 has 72 divisors (see below), whose sum is σ = 88719930. Its totient is φ = 9661440.

The previous prime is 30816641. The next prime is 30816649. The reversal of 30816648 is 84661803.

It is a happy number.

30816648 is a `hidden beast` number, since 3 + 0 + 8 + 1 + 6 + 648 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30272004 + 544644 = 5502^2 + 738^2 .

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 not an unprimeable number, because it can be changed into a prime (30816641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20068 + ... + 21548.

Almost surely, 2^30816648 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 30816648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44359965).

30816648 is an abundant number, since it is smaller than the sum of its proper divisors (57903282).

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

30816648 is a wasteful number, since it uses less digits than its factorization.

30816648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30816648 is about 5551.2744482686. The cubic root of 30816648 is about 313.5175085419.

The spelling of 30816648 in words is "thirty million, eight hundred sixteen thousand, six hundred forty-eight".