1580672 has 32 divisors (see below), whose sum is σ = 3222180. Its totient is φ = 772096.

The previous prime is 1580671. The next prime is 1580687. The reversal of 1580672 is 2760851.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 3136 = 1256^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1580671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6668 + ... + 6900.

2^1580672 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 1580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611090).

1580672 is an abundant number, since it is smaller than the sum of its proper divisors (1641508).

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

1580672 is an equidigital number, since it uses as much as digits as its factorization.

1580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1580672 is about 1257.2477878286. The cubic root of 1580672 is about 116.4878385016.

The spelling of 1580672 in words is "one million, five hundred eighty thousand, six hundred seventy-two".