22824680 has 64 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 8686080.

The previous prime is 22824679. The next prime is 22824713. The reversal of 22824680 is 8642822.

It is a happy number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97844 + ... + 98076.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^22824680 is an apocalyptic number.

22824680 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 22824680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

22824680 is an abundant number, since it is smaller than the sum of its proper divisors (31088920).

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

22824680 is a wasteful number, since it uses less digits than its factorization.

22824680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 22824680 is about 4777.5181841621. The cubic root of 22824680 is about 283.6622646590.

The spelling of 22824680 in words is "twenty-two million, eight hundred twenty-four thousand, six hundred eighty".