1580831104 has 64 divisors (see below), whose sum is σ = 3216512880. Its totient is φ = 773683200.

The previous prime is 1580831099. The next prime is 1580831107. The reversal of 1580831104 is 4011380851.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1580831107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287399 + ... + 2288089.

Almost surely, 2^1580831104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1580831104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608256440).

1580831104 is an abundant number, since it is smaller than the sum of its proper divisors (1635681776).

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

1580831104 is an equidigital number, since it uses as much as digits as its factorization.

1580831104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 1580831104 is about 39759.6667994087. Note that the first 3 decimals coincide. The cubic root of 1580831104 is about 1164.9174676746.

The spelling of 1580831104 in words is "one billion, five hundred eighty million, eight hundred thirty-one thousand, one hundred four".