1583648 has 36 divisors (see below), whose sum is σ = 3435390. Its totient is φ = 718080.

The previous prime is 1583629. The next prime is 1583651. The reversal of 1583648 is 8463851.

It can be written as a sum of positive squares in only one way, i.e., 1024144 + 559504 = 1012^2 + 748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3668 + ... + 4076.

2^1583648 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 1583648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717695).

1583648 is an abundant number, since it is smaller than the sum of its proper divisors (1851742).

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

1583648 is a wasteful number, since it uses less digits than its factorization.

1583648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 422 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 1583648 is about 1258.4307688546. The cubic root of 1583648 is about 116.5608982451.

The spelling of 1583648 in words is "one million, five hundred eighty-three thousand, six hundred forty-eight".