30058080 has 96 divisors (see below), whose sum is σ = 101987424. Its totient is φ = 7397376.

The previous prime is 30058073. The next prime is 30058087. The reversal of 30058080 is 8085003.

It is an interprime number because it is at equal distance from previous prime (30058073) and next prime (30058087).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30058080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30058087) 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 15 ways as a sum of consecutive naturals, for example, 3832 + ... + 8648.

It is an arithmetic number, because the mean of its divisors is an integer number (1062369).

Almost surely, 2^30058080 is an apocalyptic number.

30058080 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 30058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993712).

30058080 is an abundant number, since it is smaller than the sum of its proper divisors (71929344).

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

30058080 is a wasteful number, since it uses less digits than its factorization.

30058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 30058080 is about 5482.5249657434. The cubic root of 30058080 is about 310.9236414032.

The spelling of 30058080 in words is "thirty million, fifty-eight thousand, eighty".