1058008920 has 128 divisors (see below), whose sum is σ = 3449088000. Its totient is φ = 258647040.

The previous prime is 1058008909. The next prime is 1058008997. The reversal of 1058008920 is 298008501.

It is a happy number.

It is a super-2 number, since 2×1058008920² = 2238765749599132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63196 + ... + 78164.

It is an arithmetic number, because the mean of its divisors is an integer number (26946000).

Almost surely, 2^1058008920 is an apocalyptic number.

1058008920 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 1058008920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724544000).

1058008920 is an abundant number, since it is smaller than the sum of its proper divisors (2391079080).

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

1058008920 is a wasteful number, since it uses less digits than its factorization.

1058008920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15033 (or 15029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1058008920 is about 32527.0490515202. The cubic root of 1058008920 is about 1018.9740164022.

The spelling of 1058008920 in words is "one billion, fifty-eight million, eight thousand, nine hundred twenty".