23006304 has 144 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 6967296.

The previous prime is 23006297. The next prime is 23006317. The reversal of 23006304 is 40360032.

23006304 is a `hidden beast` number, since 2 + 30 + 0 + 630 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 181089 + ... + 181215.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^23006304 is an apocalyptic number.

23006304 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 23006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

23006304 is an abundant number, since it is smaller than the sum of its proper divisors (48698784).

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

23006304 is a wasteful number, since it uses less digits than its factorization.

23006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23006304 is about 4796.4887157169. The cubic root of 23006304 is about 284.4126778399.

Adding to 23006304 its reverse (40360032), we get a palindrome (63366336).

The spelling of 23006304 in words is "twenty-three million, six thousand, three hundred four".