23672160 has 144 divisors (see below), whose sum is σ = 85621536. Its totient is φ = 5935104.

The previous prime is 23672153. The next prime is 23672179. The reversal of 23672160 is 6127632.

It is a happy number.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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, 23997 + ... + 24963.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 2^23672160 is an apocalyptic number.

23672160 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 23672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810768).

23672160 is an abundant number, since it is smaller than the sum of its proper divisors (61949376).

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

23672160 is a wasteful number, since it uses less digits than its factorization.

23672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23672160 is about 4865.4044025137. The cubic root of 23672160 is about 287.1304792636.

Adding to 23672160 its reverse (6127632), we get a palindrome (29799792).

It can be divided in two parts, 23672 and 160, that added together give a palindrome (23832).

The spelling of 23672160 in words is "twenty-three million, six hundred seventy-two thousand, one hundred sixty".