30085832 has 32 divisors (see below), whose sum is σ = 65085120. Its totient is φ = 12770880.

The previous prime is 30085831. The next prime is 30085843. The reversal of 30085832 is 23858003.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30085795 and 30085804.

It is not an unprimeable number, because it can be changed into a prime (30085831) 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 7 ways as a sum of consecutive naturals, for example, 3482 + ... + 8502.

It is an arithmetic number, because the mean of its divisors is an integer number (2033910).

Almost surely, 2^30085832 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 30085832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32542560).

30085832 is an abundant number, since it is smaller than the sum of its proper divisors (34999288).

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

30085832 is a wasteful number, since it uses less digits than its factorization.

30085832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 30085832 is about 5485.0553324465. The cubic root of 30085832 is about 311.0193017456.

The spelling of 30085832 in words is "thirty million, eighty-five thousand, eight hundred thirty-two".