23505120 has 96 divisors (see below), whose sum is σ = 82283040. Its totient is φ = 6266880.

The previous prime is 23505091. The next prime is 23505127. The reversal of 23505120 is 2150532.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 23505093 and 23505102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23505127) 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, 1600 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (857115).

Almost surely, 2^23505120 is an apocalyptic number.

23505120 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 23505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41141520).

23505120 is an abundant number, since it is smaller than the sum of its proper divisors (58777920).

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

23505120 is a wasteful number, since it uses less digits than its factorization.

23505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 23505120 is about 4848.2079163336. The cubic root of 23505120 is about 286.4535162106.

Adding to 23505120 its reverse (2150532), we get a palindrome (25655652).

The spelling of 23505120 in words is "twenty-three million, five hundred five thousand, one hundred twenty".