30084960 has 96 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 7958528.

The previous prime is 30084953. The next prime is 30085009. The reversal of 30084960 is 6948003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111706 + ... + 111974.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^30084960 is an apocalyptic number.

30084960 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 30084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

30084960 is an abundant number, since it is smaller than the sum of its proper divisors (65443200).

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

30084960 is a wasteful number, since it uses less digits than its factorization.

30084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30084960 is about 5484.9758431556. The cubic root of 30084960 is about 311.0162968821.

The spelling of 30084960 in words is "thirty million, eighty-four thousand, nine hundred sixty".