23685120 has 144 divisors (see below), whose sum is σ = 82407780. Its totient is φ = 6291456.

The previous prime is 23685091. The next prime is 23685121. The reversal of 23685120 is 2158632.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 1557504 = 4704^2 + 1248^2 .

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23685121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92032 + ... + 92288.

Almost surely, 2^23685120 is an apocalyptic number.

23685120 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 23685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41203890).

23685120 is an abundant number, since it is smaller than the sum of its proper divisors (58722660).

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

23685120 is a wasteful number, since it uses less digits than its factorization.

23685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 23685120 is about 4866.7360725644. The cubic root of 23685120 is about 287.1828689642.

The spelling of 23685120 in words is "twenty-three million, six hundred eighty-five thousand, one hundred twenty".