23289120 has 144 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 6200064.

The previous prime is 23289073. The next prime is 23289127. The reversal of 23289120 is 2198232.

It is a happy number.

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

It is a super-2 number, since 2×23289120² = 1084766220748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23289127) 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, 38581 + ... + 39179.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^23289120 is an apocalyptic number.

23289120 is a gapful number since it is divisible by the number (20) 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 23289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

23289120 is an abundant number, since it is smaller than the sum of its proper divisors (59266080).

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

23289120 is an equidigital number, since it uses as much as digits as its factorization.

23289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23289120 is about 4825.8802305901. The cubic root of 23289120 is about 285.5733609784.

It can be divided in two parts, 23289 and 120, that added together give a square (23409 = 153²).

The spelling of 23289120 in words is "twenty-three million, two hundred eighty-nine thousand, one hundred twenty".