23575120 has 40 divisors (see below), whose sum is σ = 55190664. Its totient is φ = 9364992.

The previous prime is 23575099. The next prime is 23575127. The reversal of 23575120 is 2157532.

It can be written as a sum of positive squares in 4 ways, for example, as 1784896 + 21790224 = 1336^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23575127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11622 + ... + 13498.

Almost surely, 2^23575120 is an apocalyptic number.

23575120 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 23575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595332).

23575120 is an abundant number, since it is smaller than the sum of its proper divisors (31615544).

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

23575120 is a wasteful number, since it uses less digits than its factorization.

23575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 23575120 is about 4855.4217118598. The cubic root of 23575120 is about 286.7375943718.

The spelling of 23575120 in words is "twenty-three million, five hundred seventy-five thousand, one hundred twenty".