23766561 has 64 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 11778048.

The previous prime is 23766517. The next prime is 23766563. The reversal of 23766561 is 16566732.

23766561 is a `hidden beast` number, since 2 + 37 + 66 + 561 = 666.

It is not a de Polignac number, because 23766561 - 2⁷ = 23766433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23766563) 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 63 ways as a sum of consecutive naturals, for example, 41485 + ... + 42053.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^23766561 is an apocalyptic number.

23766561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23766561 is a deficient number, since it is larger than the sum of its proper divisors (22198239).

23766561 is a wasteful number, since it uses less digits than its factorization.

23766561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 23766561 is about 4875.0959990548. The cubic root of 23766561 is about 287.5116506936.

The spelling of 23766561 in words is "twenty-three million, seven hundred sixty-six thousand, five hundred sixty-one".