1058588160 has 480 divisors, whose sum is σ = 4114424160. Its totient is φ = 231211008.

The previous prime is 1058588137. The next prime is 1058588213. The reversal of 1058588160 is 618858501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1058588160² = 2241217784984371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10913232 + ... + 10913328.

It is an arithmetic number, because the mean of its divisors is an integer number (8571717).

Almost surely, 2^1058588160 is an apocalyptic number.

1058588160 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 1058588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057212080).

1058588160 is an abundant number, since it is smaller than the sum of its proper divisors (3055836000).

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

1058588160 is an equidigital number, since it uses as much as digits as its factorization.

1058588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The square root of 1058588160 is about 32535.9518071932. The cubic root of 1058588160 is about 1019.1599388512.

The spelling of 1058588160 in words is "one billion, fifty-eight million, five hundred eighty-eight thousand, one hundred sixty".