1563648 has 44 divisors (see below), whose sum is σ = 4175880. Its totient is φ = 520192.

The previous prime is 1563631. The next prime is 1563649. The reversal of 1563648 is 8463651.

1563648 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2818 + ... + 3326.

2^1563648 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 1563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087940).

1563648 is an abundant number, since it is smaller than the sum of its proper divisors (2612232).

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

1563648 is an equidigital number, since it uses as much as digits as its factorization.

1563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1563648 is about 1250.4591156851. The cubic root of 1563648 is about 116.0681327844.

It can be divided in two parts, 1563 and 648, that added together give a triangular number (2211 = T₆₆).

The spelling of 1563648 in words is "one million, five hundred sixty-three thousand, six hundred forty-eight".