23305680 has 60 divisors (see below), whose sum is σ = 78270660. Its totient is φ = 6214656.

The previous prime is 23305673. The next prime is 23305703. The reversal of 23305680 is 8650332.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 19289664 = 2004^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

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, 15465 + ... + 16904.

It is an arithmetic number, because the mean of its divisors is an integer number (1304511).

Almost surely, 2^23305680 is an apocalyptic number.

23305680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23305680 is an abundant number, since it is smaller than the sum of its proper divisors (54964980).

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

23305680 is a wasteful number, since it uses less digits than its factorization.

23305680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32388 (or 32379 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23305680 is about 4827.5956748676. The cubic root of 23305680 is about 285.6410316963.

The spelling of 23305680 in words is "twenty-three million, three hundred five thousand, six hundred eighty".