1563936 has 48 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 473600.

The previous prime is 1563911. The next prime is 1563937. The reversal of 1563936 is 6393651.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1563897 and 1563906.

It is not an unprimeable number, because it can be changed into a prime (1563937) by changing a digit.

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, 316 + ... + 1796.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

2^1563936 is an apocalyptic number.

1563936 is a gapful number since it is divisible by the number (16) 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 1563936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

1563936 is an abundant number, since it is smaller than the sum of its proper divisors (2917632).

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

1563936 is a wasteful number, since it uses less digits than its factorization.

1563936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 1563936 is about 1250.5742680865. The cubic root of 1563936 is about 116.0752583374.

The spelling of 1563936 in words is "one million, five hundred sixty-three thousand, nine hundred thirty-six".