24228864 has 132 divisors (see below), whose sum is σ = 76639680. Its totient is φ = 7311360.

The previous prime is 24228863. The next prime is 24228871. The reversal of 24228864 is 46882242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24228863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101257 + ... + 101495.

Almost surely, 2^24228864 is an apocalyptic number.

24228864 is a gapful number since it is divisible by the number (24) 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 24228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319840).

24228864 is an abundant number, since it is smaller than the sum of its proper divisors (52410816).

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

24228864 is a wasteful number, since it uses less digits than its factorization.

24228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 24228864 is about 4922.2823974250. The cubic root of 24228864 is about 289.3639010557.

The spelling of 24228864 in words is "twenty-four million, two hundred twenty-eight thousand, eight hundred sixty-four".