30868800 has 168 divisors, whose sum is σ = 103936800. Its totient is φ = 8017920.

The previous prime is 30868771. The next prime is 30868811. The reversal of 30868800 is 886803.

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, 283146 + ... + 283254.

Almost surely, 2^30868800 is an apocalyptic number.

30868800 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 30868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51968400).

30868800 is an abundant number, since it is smaller than the sum of its proper divisors (73068000).

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

30868800 is a wasteful number, since it uses less digits than its factorization.

30868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

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

The square root of 30868800 is about 5555.9697623367. The cubic root of 30868800 is about 313.6942674401.

The spelling of 30868800 in words is "thirty million, eight hundred sixty-eight thousand, eight hundred".