23826880 has 112 divisors (see below), whose sum is σ = 70811136. Its totient is φ = 7418880.

The previous prime is 23826811. The next prime is 23826883. The reversal of 23826880 is 8862832.

23826880 = 631² + 632² + ... + 685².

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23826883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24157 + ... + 25123.

Almost surely, 2^23826880 is an apocalyptic number.

23826880 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 23826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35405568).

23826880 is an abundant number, since it is smaller than the sum of its proper divisors (46984256).

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

23826880 is a wasteful number, since it uses less digits than its factorization.

23826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 23826880 is about 4881.2785210434. The cubic root of 23826880 is about 287.7546779221.

The spelling of 23826880 in words is "twenty-three million, eight hundred twenty-six thousand, eight hundred eighty".