1580960 has 48 divisors (see below), whose sum is σ = 3841992. Its totient is φ = 614400.

The previous prime is 1580959. The next prime is 1580977. The reversal of 1580960 is 690851.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 524176 = 1028^2 + 724^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6440 + ... + 6680.

2^1580960 is an apocalyptic number.

1580960 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 1580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920996).

1580960 is an abundant number, since it is smaller than the sum of its proper divisors (2261032).

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

1580960 is a wasteful number, since it uses less digits than its factorization.

1580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1580960 is about 1257.3623185065. The cubic root of 1580960 is about 116.4949128051.

The spelling of 1580960 in words is "one million, five hundred eighty thousand, nine hundred sixty".