30886400 has 120 divisors (see below), whose sum is σ = 81185280. Its totient is φ = 11612160.

The previous prime is 30886307. The next prime is 30886409. The reversal of 30886400 is 468803.

It is not an unprimeable number, because it can be changed into a prime (30886409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243137 + ... + 243263.

It is an arithmetic number, because the mean of its divisors is an integer number (676544).

Almost surely, 2^30886400 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 30886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40592640).

30886400 is an abundant number, since it is smaller than the sum of its proper divisors (50298880).

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

30886400 is a wasteful number, since it uses less digits than its factorization.

30886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 30886400 is about 5557.5534185467. The cubic root of 30886400 is about 313.7538742293.

The spelling of 30886400 in words is "thirty million, eight hundred eighty-six thousand, four hundred".