3058080 has 96 divisors (see below), whose sum is σ = 10088064. Its totient is φ = 777216.

The previous prime is 3058051. The next prime is 3058127. The reversal of 3058080 is 808503.

3058080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 3058080.

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, 10902 + ... + 11178.

It is an arithmetic number, because the mean of its divisors is an integer number (105084).

Almost surely, 2^3058080 is an apocalyptic number.

3058080 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 3058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044032).

3058080 is an abundant number, since it is smaller than the sum of its proper divisors (7029984).

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

3058080 is a wasteful number, since it uses less digits than its factorization.

3058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

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

The square root of 3058080 is about 1748.7366868686. The cubic root of 3058080 is about 145.1497462106.

It can be divided in two parts, 305 and 8080, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 3058080 in words is "three million, fifty-eight thousand, eighty".