23265120 has 96 divisors (see below), whose sum is σ = 77172480. Its totient is φ = 5875200.

The previous prime is 23265113. The next prime is 23265127. The reversal of 23265120 is 2156232.

It is an interprime number because it is at equal distance from previous prime (23265113) and next prime (23265127).

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

It is a super-2 number, since 2×23265120² = 1082531617228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7845 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (803880).

Almost surely, 2^23265120 is an apocalyptic number.

23265120 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 23265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38586240).

23265120 is an abundant number, since it is smaller than the sum of its proper divisors (53907360).

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

23265120 is a wasteful number, since it uses less digits than its factorization.

23265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 23265120 is about 4823.3929966363. The cubic root of 23265120 is about 285.4752305161.

The spelling of 23265120 in words is "twenty-three million, two hundred sixty-five thousand, one hundred twenty".