10563600 has 60 divisors (see below), whose sum is σ = 33842576. Its totient is φ = 2816640.

The previous prime is 10563599. The next prime is 10563607. The reversal of 10563600 is 636501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10563600² = 223179289920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10563607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3202 + ... + 5601.

Almost surely, 2^10563600 is an apocalyptic number.

10563600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10563600 is an abundant number, since it is smaller than the sum of its proper divisors (23278976).

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

10563600 is a wasteful number, since it uses less digits than its factorization.

10563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 10563600 is about 3250.1692263635. The cubic root of 10563600 is about 219.4171902037.

It can be divided in two parts, 1056 and 3600, that added together give a triangular number (4656 = T₉₆).

The spelling of 10563600 in words is "ten million, five hundred sixty-three thousand, six hundred".