30468640 has 48 divisors (see below), whose sum is σ = 73360728. Its totient is φ = 11954176.

The previous prime is 30468623. The next prime is 30468671. The reversal of 30468640 is 4686403.

It can be written as a sum of positive squares in 4 ways, for example, as 24880144 + 5588496 = 4988^2 + 2364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6684 + ... + 10276.

Almost surely, 2^30468640 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 30468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36680364).

30468640 is an abundant number, since it is smaller than the sum of its proper divisors (42892088).

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

30468640 is a wasteful number, since it uses less digits than its factorization.

30468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 30468640 is about 5519.8405774080. The cubic root of 30468640 is about 312.3328684972.

The spelling of 30468640 in words is "thirty million, four hundred sixty-eight thousand, six hundred forty".