1058080320 has 336 divisors, whose sum is σ = 4120579008. Its totient is φ = 256296960.

The previous prime is 1058080279. The next prime is 1058080321. The reversal of 1058080320 is 230808501.

It is a happy number.

1058080320 is a `hidden beast` number, since 1 + 0 + 580 + 80 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×1058080320² = 2239067927142604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1058080321) 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 47 ways as a sum of consecutive naturals, for example, 854742 + ... + 855978.

It is an arithmetic number, because the mean of its divisors is an integer number (12263628).

Almost surely, 2^1058080320 is an apocalyptic number.

1058080320 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 1058080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060289504).

1058080320 is an abundant number, since it is smaller than the sum of its proper divisors (3062498688).

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

1058080320 is a wasteful number, since it uses less digits than its factorization.

1058080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1058080320 is about 32528.1465810765. The cubic root of 1058080320 is about 1018.9969377931.

Adding to 1058080320 its reverse (230808501), we get a palindrome (1288888821).

The spelling of 1058080320 in words is "one billion, fifty-eight million, eighty thousand, three hundred twenty".