1058080 has 48 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 397312.

The previous prime is 1058077. The next prime is 1058093. The reversal of 1058080 is 808501.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 204304 = 924^2 + 452^2 .

It is a super-2 number, since 2×1058080² = 2239066572800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526 + ... + 2914.

2^1058080 is an apocalyptic number.

1058080 is a gapful number since it is divisible by the number (10) 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 1058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

1058080 is an abundant number, since it is smaller than the sum of its proper divisors (1595480).

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

1058080 is a wasteful number, since it uses less digits than its factorization.

1058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 1058080 is about 1028.6301570535. The cubic root of 1058080 is about 101.8996835066.

It can be divided in two parts, 10580 and 80, that multiplied together give a square (846400 = 920²).

The spelling of 1058080 in words is "one million, fifty-eight thousand, eighty".