1563920 has 40 divisors (see below), whose sum is σ = 3689496. Its totient is φ = 616448.

The previous prime is 1563911. The next prime is 1563937. The reversal of 1563920 is 293651.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 1478656 = 292^2 + 1216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1563920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8954 + ... + 9126.

2^1563920 is an apocalyptic number.

1563920 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 1563920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844748).

1563920 is an abundant number, since it is smaller than the sum of its proper divisors (2125576).

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

1563920 is a wasteful number, since it uses less digits than its factorization.

1563920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1563920 is about 1250.5678710090. The cubic root of 1563920 is about 116.0748624963.

The spelling of 1563920 in words is "one million, five hundred sixty-three thousand, nine hundred twenty".