30984800 has 144 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 9638400.

The previous prime is 30984787. The next prime is 30984803. The reversal of 30984800 is 848903.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30984803) 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 23 ways as a sum of consecutive naturals, for example, 61349 + ... + 61851.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^30984800 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 30984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

30984800 is an abundant number, since it is smaller than the sum of its proper divisors (63509152).

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

30984800 is a wasteful number, since it uses less digits than its factorization.

30984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 30984800 is about 5566.3991951710. The cubic root of 30984800 is about 314.0867138497.

The spelling of 30984800 in words is "thirty million, nine hundred eighty-four thousand, eight hundred".