22365760 has 56 divisors (see below), whose sum is σ = 54726840. Its totient is φ = 8699904.

The previous prime is 22365731. The next prime is 22365767. The reversal of 22365760 is 6756322.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 16451136 = 2432^2 + 4056^2 .

It is not an unprimeable number, because it can be changed into a prime (22365767) 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, 10896 + ... + 12784.

It is an arithmetic number, because the mean of its divisors is an integer number (977265).

Almost surely, 2^22365760 is an apocalyptic number.

22365760 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 22365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363420).

22365760 is an abundant number, since it is smaller than the sum of its proper divisors (32361080).

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

22365760 is a wasteful number, since it uses less digits than its factorization.

22365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 22365760 is about 4729.2451829018. The cubic root of 22365760 is about 281.7482453773.

The spelling of 22365760 in words is "twenty-two million, three hundred sixty-five thousand, seven hundred sixty".