1563948 has 36 divisors (see below), whose sum is σ = 4102280. Its totient is φ = 520992.

The previous prime is 1563943. The next prime is 1563959. The reversal of 1563948 is 8493651.

1563948 is a `hidden beast` number, since 1 + 563 + 94 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1563943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168 + ... + 1776.

2^1563948 is an apocalyptic number.

1563948 is a gapful number since it is divisible by the number (18) 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 1563948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051140).

1563948 is an abundant number, since it is smaller than the sum of its proper divisors (2538332).

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

1563948 is a wasteful number, since it uses less digits than its factorization.

1563948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1614 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1563948 is about 1250.5790658731. The cubic root of 1563948 is about 116.0755552165.

The spelling of 1563948 in words is "one million, five hundred sixty-three thousand, nine hundred forty-eight".