23688144 has 60 divisors (see below), whose sum is σ = 66736800. Its totient is φ = 7843392.

The previous prime is 23688143. The next prime is 23688163. The reversal of 23688144 is 44188632.

It is a super-2 number, since 2×23688144² = 1122256332329472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23688099 and 23688108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23688143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25317 + ... + 26235.

It is an arithmetic number, because the mean of its divisors is an integer number (1112280).

Almost surely, 2^23688144 is an apocalyptic number.

23688144 is a gapful number since it is divisible by the number (24) 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 23688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33368400).

23688144 is an abundant number, since it is smaller than the sum of its proper divisors (43048656).

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

23688144 is a wasteful number, since it uses less digits than its factorization.

23688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 23688144 is about 4867.0467431493. The cubic root of 23688144 is about 287.1950904777.

It can be divided in two parts, 23688 and 144, that added together give a palindrome (23832).

The spelling of 23688144 in words is "twenty-three million, six hundred eighty-eight thousand, one hundred forty-four".