10563904 has 28 divisors (see below), whose sum is σ = 22577044. Its totient is φ = 4875264.

The previous prime is 10563887. The next prime is 10563911. The reversal of 10563904 is 40936501.

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 8714304 = 1360^2 + 2952^2 .

It is a super-2 number, since 2×10563904² = 223192135442432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5517 + ... + 7180.

It is an arithmetic number, because the mean of its divisors is an integer number (806323).

Almost surely, 2^10563904 is an apocalyptic number.

It is an amenable number.

10563904 is an abundant number, since it is smaller than the sum of its proper divisors (12013140).

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

10563904 is a wasteful number, since it uses less digits than its factorization.

10563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12712 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 10563904 is about 3250.2159928226. The cubic root of 10563904 is about 219.4192949844.

It can be divided in two parts, 105 and 63904, that added together give a square (64009 = 253²).

The spelling of 10563904 in words is "ten million, five hundred sixty-three thousand, nine hundred four".