23414688 has 144 divisors (see below), whose sum is σ = 76658400. Its totient is φ = 6704640.

The previous prime is 23414683. The next prime is 23414717. The reversal of 23414688 is 88641432.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23414688² = 1096495228274688, 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 not an unprimeable number, because it can be changed into a prime (23414683) 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 23 ways as a sum of consecutive naturals, for example, 59998 + ... + 60386.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^23414688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329200).

23414688 is an abundant number, since it is smaller than the sum of its proper divisors (53243712).

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

23414688 is a wasteful number, since it uses less digits than its factorization.

23414688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

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

The square root of 23414688 is about 4838.8725959670. The cubic root of 23414688 is about 286.0856834899.

The spelling of 23414688 in words is "twenty-three million, four hundred fourteen thousand, six hundred eighty-eight".