30648168 has 48 divisors (see below), whose sum is σ = 83584800. Its totient is φ = 10144800.

The previous prime is 30648109. The next prime is 30648193. The reversal of 30648168 is 86184603.

It is a happy number.

30648168 is a `hidden beast` number, since 3 + 0 + 648 + 1 + 6 + 8 = 666.

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

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, 9463 + ... + 12281.

It is an arithmetic number, because the mean of its divisors is an integer number (1741350).

Almost surely, 2^30648168 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 30648168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41792400).

30648168 is an abundant number, since it is smaller than the sum of its proper divisors (52936632).

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

30648168 is a wasteful number, since it uses less digits than its factorization.

30648168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2975 counting only the distinct ones).

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

The square root of 30648168 is about 5536.0787566652. The cubic root of 30648168 is about 312.9451124720.

The spelling of 30648168 in words is "thirty million, six hundred forty-eight thousand, one hundred sixty-eight".