22790160 has 100 divisors (see below), whose sum is σ = 79176108. Its totient is φ = 6075648.

The previous prime is 22790147. The next prime is 22790167. The reversal of 22790160 is 6109722.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 6533136 = 4032^2 + 2556^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22790167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4722 + ... + 8238.

Almost surely, 2^22790160 is an apocalyptic number.

22790160 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 22790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39588054).

22790160 is an abundant number, since it is smaller than the sum of its proper divisors (56385948).

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

22790160 is a wasteful number, since it uses less digits than its factorization.

22790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 22790160 is about 4773.9040627143. The cubic root of 22790160 is about 283.5191890933.

Adding to 22790160 its reverse (6109722), we get a palindrome (28899882).

The spelling of 22790160 in words is "twenty-two million, seven hundred ninety thousand, one hundred sixty".