30589668 has 72 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 9825600.

The previous prime is 30589633. The next prime is 30589673. The reversal of 30589668 is 86698503.

30589668 is a `hidden beast` number, since 3 + 0 + 589 + 6 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170803 + ... + 170981.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^30589668 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 30589668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

30589668 is an abundant number, since it is smaller than the sum of its proper divisors (49606812).

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

30589668 is a wasteful number, since it uses less digits than its factorization.

30589668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 30589668 is about 5530.7927099106. The cubic root of 30589668 is about 312.7458732709.

The spelling of 30589668 in words is "thirty million, five hundred eighty-nine thousand, six hundred sixty-eight".