22645120 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 8826880.

The previous prime is 22645099. The next prime is 22645121. The reversal of 22645120 is 2154622.

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

It is a junction number, because it is equal to n+sod(n) for n = 22645091 and 22645100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22645121) 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, 25809 + ... + 26671.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^22645120 is an apocalyptic number.

22645120 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 22645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

22645120 is an abundant number, since it is smaller than the sum of its proper divisors (32875520).

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

22645120 is an equidigital number, since it uses as much as digits as its factorization.

22645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 22645120 is about 4758.6888950634. The cubic root of 22645120 is about 282.9164557549.

Adding to 22645120 its reverse (2154622), we get a palindrome (24799742).

The spelling of 22645120 in words is "twenty-two million, six hundred forty-five thousand, one hundred twenty".