23111680 has 96 divisors (see below), whose sum is σ = 57886920. Its totient is φ = 8847360.

The previous prime is 23111677. The next prime is 23111689. The reversal of 23111680 is 8611132.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 6071296 = 4128^2 + 2464^2 .

It is not an unprimeable number, because it can be changed into a prime (23111689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378850 + ... + 378910.

Almost surely, 2^23111680 is an apocalyptic number.

23111680 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 23111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943460).

23111680 is an abundant number, since it is smaller than the sum of its proper divisors (34775240).

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

23111680 is an equidigital number, since it uses as much as digits as its factorization.

23111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 23111680 is about 4807.4608682755. The cubic root of 23111680 is about 284.8462492748.

It can be divided in two parts, 231 and 11680, that added together give a palindrome (11911).

The spelling of 23111680 in words is "twenty-three million, one hundred eleven thousand, six hundred eighty".