22648720 has 40 divisors (see below), whose sum is σ = 53266680. Its totient is φ = 8954880.

The previous prime is 22648679. The next prime is 22648727. The reversal of 22648720 is 2784622.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 22429696 = 468^2 + 4736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22648727) 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, 5530 + ... + 8710.

It is an arithmetic number, because the mean of its divisors is an integer number (1331667).

Almost surely, 2^22648720 is an apocalyptic number.

22648720 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 22648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26633340).

22648720 is an abundant number, since it is smaller than the sum of its proper divisors (30617960).

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

22648720 is a wasteful number, since it uses less digits than its factorization.

22648720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 22648720 is about 4759.0671354794. The cubic root of 22648720 is about 282.9314471419.

The spelling of 22648720 in words is "twenty-two million, six hundred forty-eight thousand, seven hundred twenty".