1580113920 has 448 divisors, whose sum is σ = 6341400576. Its totient is φ = 326369280.

The previous prime is 1580113907. The next prime is 1580113937. The reversal of 1580113920 is 293110851.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9461677 + ... + 9461843.

It is an arithmetic number, because the mean of its divisors is an integer number (14154912).

Almost surely, 2^1580113920 is an apocalyptic number.

1580113920 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 1580113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170700288).

1580113920 is an abundant number, since it is smaller than the sum of its proper divisors (4761286656).

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

1580113920 is a wasteful number, since it uses less digits than its factorization.

1580113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1580113920 is about 39750.6467871908. The cubic root of 1580113920 is about 1164.7412762731.

The spelling of 1580113920 in words is "one billion, five hundred eighty million, one hundred thirteen thousand, nine hundred twenty".