23242880 has 64 divisors (see below), whose sum is σ = 58017600. Its totient is φ = 8887296.

The previous prime is 23242867. The next prime is 23242883. The reversal of 23242880 is 8824232.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23242883) 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, 13931 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (906525).

Almost surely, 2^23242880 is an apocalyptic number.

23242880 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 23242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008800).

23242880 is an abundant number, since it is smaller than the sum of its proper divisors (34774720).

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

23242880 is a wasteful number, since it uses less digits than its factorization.

23242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 23242880 is about 4821.0870143568. The cubic root of 23242880 is about 285.3842360249.

The spelling of 23242880 in words is "twenty-three million, two hundred forty-two thousand, eight hundred eighty".