30409668 has 60 divisors (see below), whose sum is σ = 84188412. Its totient is φ = 9538560.

The previous prime is 30409663. The next prime is 30409669. The reversal of 30409668 is 86690403.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 14152644 = 4032^2 + 3762^2 .

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 (30409663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2748 + ... + 8268.

Almost surely, 2^30409668 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 30409668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094206).

30409668 is an abundant number, since it is smaller than the sum of its proper divisors (53778744).

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

30409668 is a wasteful number, since it uses less digits than its factorization.

30409668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30409668 is about 5514.4961691890. The cubic root of 30409668 is about 312.1312317765.

The spelling of 30409668 in words is "thirty million, four hundred nine thousand, six hundred sixty-eight".