1580048 has 40 divisors (see below), whose sum is σ = 3350232. Its totient is φ = 718848.

The previous prime is 1580041. The next prime is 1580053. The reversal of 1580048 is 8400851.

1580048 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 1257²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 984064 = 772^2 + 992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1579999 and 1580026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1580041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9986 + ... + 10142.

2^1580048 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 1580048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675116).

1580048 is an abundant number, since it is smaller than the sum of its proper divisors (1770184).

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

1580048 is a wasteful number, since it uses less digits than its factorization.

1580048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1580048 is about 1256.9996022275. Note that the first 3 decimals coincide. The cubic root of 1580048 is about 116.4725078957.

Adding to 1580048 its reverse (8400851), we get a palindrome (9980899).

The spelling of 1580048 in words is "one million, five hundred eighty thousand, forty-eight".