10561536 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3502080.

The previous prime is 10561519. The next prime is 10561543. The reversal of 10561536 is 63516501.

It is a happy number.

10561536 is a `hidden beast` number, since 10 + 5 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10561536² = 223092085358592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55201 + ... + 55391.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^10561536 is an apocalyptic number.

10561536 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 10561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10561536 is an abundant number, since it is smaller than the sum of its proper divisors (20888064).

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

10561536 is an equidigital number, since it uses as much as digits as its factorization.

10561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10561536 is about 3249.8516889237. The cubic root of 10561536 is about 219.4028987822.

The spelling of 10561536 in words is "ten million, five hundred sixty-one thousand, five hundred thirty-six".