23823264 has 96 divisors (see below), whose sum is σ = 67798080. Its totient is φ = 7299072.

The previous prime is 23823263. The next prime is 23823287. The reversal of 23823264 is 46232832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23823264² = 1135095815227392, which contains 22 as substring.

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 (23823263) 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 15 ways as a sum of consecutive naturals, for example, 67312 + ... + 67664.

It is an arithmetic number, because the mean of its divisors is an integer number (706230).

Almost surely, 2^23823264 is an apocalyptic number.

23823264 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 23823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33899040).

23823264 is an abundant number, since it is smaller than the sum of its proper divisors (43974816).

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

23823264 is a wasteful number, since it uses less digits than its factorization.

23823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 23823264 is about 4880.9081122267. The cubic root of 23823264 is about 287.7401205041.

The spelling of 23823264 in words is "twenty-three million, eight hundred twenty-three thousand, two hundred sixty-four".