30648320 has 96 divisors (see below), whose sum is σ = 76363560. Its totient is φ = 11796480.

The previous prime is 30648313. The next prime is 30648329. The reversal of 30648320 is 2384603.

It can be written as a sum of positive squares in 4 ways, for example, as 17572864 + 13075456 = 4192^2 + 3616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30648320.

It is not an unprimeable number, because it can be changed into a prime (30648329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419804 + ... + 419876.

Almost surely, 2^30648320 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 30648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38181780).

30648320 is an abundant number, since it is smaller than the sum of its proper divisors (45715240).

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

30648320 is an equidigital number, since it uses as much as digits as its factorization.

30648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 30648320 is about 5536.0924847766. The cubic root of 30648320 is about 312.9456298229.

The spelling of 30648320 in words is "thirty million, six hundred forty-eight thousand, three hundred twenty".