30505984 has 44 divisors (see below), whose sum is σ = 63014848. Its totient is φ = 14760960.

The previous prime is 30505967. The next prime is 30505987. The reversal of 30505984 is 48950503.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30505987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 984049 + ... + 984079.

Almost surely, 2^30505984 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 30505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31507424).

30505984 is an abundant number, since it is smaller than the sum of its proper divisors (32508864).

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

30505984 is an frugal number, since it uses more digits than its factorization.

30505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 30505984 is about 5523.2222479274. Note that the first 4 decimals coincide. The cubic root of 30505984 is about 312.4604203739.

The spelling of 30505984 in words is "thirty million, five hundred five thousand, nine hundred eighty-four".