22680120 has 64 divisors (see below), whose sum is σ = 68365440. Its totient is φ = 6019200.

The previous prime is 22680113. The next prime is 22680121. The reversal of 22680120 is 2108622.

It is a super-3 number, since 3×22680120³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680121) 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, 39435 + ... + 40005.

It is an arithmetic number, because the mean of its divisors is an integer number (1068210).

Almost surely, 2^22680120 is an apocalyptic number.

22680120 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 22680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34182720).

22680120 is an abundant number, since it is smaller than the sum of its proper divisors (45685320).

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

22680120 is a wasteful number, since it uses less digits than its factorization.

22680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 22680120 is about 4762.3649587154. The cubic root of 22680120 is about 283.0621380450.

Adding to 22680120 its reverse (2108622), we get a palindrome (24788742).

The spelling of 22680120 in words is "twenty-two million, six hundred eighty thousand, one hundred twenty".