23668560 has 120 divisors (see below), whose sum is σ = 80780544. Its totient is φ = 6209280.

The previous prime is 23668559. The next prime is 23668577. The reversal of 23668560 is 6586632.

23668560 is a `hidden beast` number, since 2 + 36 + 68 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50889 + ... + 51351.

Almost surely, 2^23668560 is an apocalyptic number.

23668560 is a gapful number since it is divisible by the number (20) 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 23668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40390272).

23668560 is an abundant number, since it is smaller than the sum of its proper divisors (57111984).

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

23668560 is a wasteful number, since it uses less digits than its factorization.

23668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 23668560 is about 4865.0344294773. The cubic root of 23668560 is about 287.1159231757.

The spelling of 23668560 in words is "twenty-three million, six hundred sixty-eight thousand, five hundred sixty".