23001160 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7096320.

The previous prime is 23001157. The next prime is 23001169. The reversal of 23001160 is 6110032.

23001160 = T₄₀₉ + T₄₁₀ + ... + T₅₉₀.

It is a super-2 number, since 2×23001160² = 1058106722691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 23001160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001169) 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 31 ways as a sum of consecutive naturals, for example, 258396 + ... + 258484.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^23001160 is an apocalyptic number.

23001160 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 23001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

23001160 is an abundant number, since it is smaller than the sum of its proper divisors (42317240).

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

23001160 is a wasteful number, since it uses less digits than its factorization.

23001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 23001160 is about 4795.9524601480. The cubic root of 23001160 is about 284.3914788985.

Adding to 23001160 its reverse (6110032), we get a palindrome (29111192).

The spelling of 23001160 in words is "twenty-three million, one thousand, one hundred sixty".