30805600 has 72 divisors (see below), whose sum is σ = 85963248. Its totient is φ = 10560000.

The previous prime is 30805583. The next prime is 30805603. The reversal of 30805600 is 650803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30805603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2850 + ... + 8350.

It is an arithmetic number, because the mean of its divisors is an integer number (1193934).

Almost surely, 2^30805600 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 30805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981624).

30805600 is an abundant number, since it is smaller than the sum of its proper divisors (55157648).

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

30805600 is a wasteful number, since it uses less digits than its factorization.

30805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 30805600 is about 5550.2792722529. The cubic root of 30805600 is about 313.4800379358.

The spelling of 30805600 in words is "thirty million, eight hundred five thousand, six hundred".