23520880 has 80 divisors (see below), whose sum is σ = 57371328. Its totient is φ = 8960000.

The previous prime is 23520859. The next prime is 23520883. The reversal of 23520880 is 8802532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23520883) 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 15 ways as a sum of consecutive naturals, for example, 232830 + ... + 232930.

Almost surely, 2^23520880 is an apocalyptic number.

23520880 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 23520880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664).

23520880 is an abundant number, since it is smaller than the sum of its proper divisors (33850448).

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

23520880 is a wasteful number, since it uses less digits than its factorization.

23520880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 23520880 is about 4849.8329868151. The cubic root of 23520880 is about 286.5175235249.

It can be divided in two parts, 235 and 20880, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 23520880 in words is "twenty-three million, five hundred twenty thousand, eight hundred eighty".