22007920 has 80 divisors (see below), whose sum is σ = 56648160. Its totient is φ = 7884800.

The previous prime is 22007903. The next prime is 22007929. The reversal of 22007920 is 2970022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22007891 and 22007900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22007929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78180 + ... + 78460.

It is an arithmetic number, because the mean of its divisors is an integer number (708102).

Almost surely, 2^22007920 is an apocalyptic number.

22007920 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 22007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28324080).

22007920 is an abundant number, since it is smaller than the sum of its proper divisors (34640240).

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

22007920 is a wasteful number, since it uses less digits than its factorization.

22007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 22007920 is about 4691.2599586891. The cubic root of 22007920 is about 280.2375535034.

Adding to 22007920 its reverse (2970022), we get a palindrome (24977942).

The spelling of 22007920 in words is "twenty-two million, seven thousand, nine hundred twenty".