23838880 has 96 divisors (see below), whose sum is σ = 61874064. Its totient is φ = 8626176.

The previous prime is 23838877. The next prime is 23838883. The reversal of 23838880 is 8883832.

It is an interprime number because it is at equal distance from previous prime (23838877) and next prime (23838883).

It can be written as a sum of positive squares in 8 ways, for example, as 4443664 + 19395216 = 2108^2 + 4404^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23838883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151762 + ... + 151918.

Almost surely, 2^23838880 is an apocalyptic number.

23838880 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 23838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30937032).

23838880 is an abundant number, since it is smaller than the sum of its proper divisors (38035184).

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

23838880 is a wasteful number, since it uses less digits than its factorization.

23838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 23838880 is about 4882.5075524775. The cubic root of 23838880 is about 287.8029773862.

The spelling of 23838880 in words is "twenty-three million, eight hundred thirty-eight thousand, eight hundred eighty".