30886800 has 120 divisors (see below), whose sum is σ = 113105856. Its totient is φ = 7057920.

The previous prime is 30886789. The next prime is 30886829. The reversal of 30886800 is 868803.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6562 + ... + 10238.

Almost surely, 2^30886800 is an apocalyptic number.

30886800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56552928).

30886800 is an abundant number, since it is smaller than the sum of its proper divisors (82219056).

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

30886800 is a wasteful number, since it uses less digits than its factorization.

30886800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 30886800 is about 5557.5894054887. The cubic root of 30886800 is about 313.7552286658.

The spelling of 30886800 in words is "thirty million, eight hundred eighty-six thousand, eight hundred".