23642880 has 144 divisors (see below), whose sum is σ = 77704704. Its totient is φ = 6123520.

The previous prime is 23642867. The next prime is 23642887. The reversal of 23642880 is 8824632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23642887) 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, 180415 + ... + 180545.

It is an arithmetic number, because the mean of its divisors is an integer number (539616).

Almost surely, 2^23642880 is an apocalyptic number.

23642880 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 23642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38852352).

23642880 is an abundant number, since it is smaller than the sum of its proper divisors (54061824).

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

23642880 is a wasteful number, since it uses less digits than its factorization.

23642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 23642880 is about 4862.3944718626. The cubic root of 23642880 is about 287.0120469070.

The spelling of 23642880 in words is "twenty-three million, six hundred forty-two thousand, eight hundred eighty".