23668641 has 36 divisors (see below), whose sum is σ = 37533132. Its totient is φ = 14321664.

The previous prime is 23668639. The next prime is 23668651. The reversal of 23668641 is 14686632.

23668641 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 8 + 641 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1766241 + 21902400 = 1329^2 + 4680^2 .

It is not a de Polignac number, because 23668641 - 2¹ = 23668639 is a prime.

It is a super-3 number, since 3×23668641³ (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23668596 and 23668605.

It is not an unprimeable number, because it can be changed into a prime (23668651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209401 + ... + 209513.

It is an arithmetic number, because the mean of its divisors is an integer number (1042587).

Almost surely, 2^23668641 is an apocalyptic number.

It is an amenable number.

23668641 is a deficient number, since it is larger than the sum of its proper divisors (13864491).

23668641 is a wasteful number, since it uses less digits than its factorization.

23668641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 170 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23668641 is about 4865.0427541801. The cubic root of 23668641 is about 287.1162507039.

Subtracting from 23668641 its reverse (14686632), we obtain a square (8982009 = 2997²).

The spelling of 23668641 in words is "twenty-three million, six hundred sixty-eight thousand, six hundred forty-one".