22680840 has 256 divisors, whose sum is σ = 87736320. Its totient is φ = 4561920.

The previous prime is 22680817. The next prime is 22680841. The reversal of 22680840 is 4808622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22680798 and 22680807.

It is not an unprimeable number, because it can be changed into a prime (22680841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338487 + ... + 338553.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 2^22680840 is an apocalyptic number.

22680840 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 22680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43868160).

22680840 is an abundant number, since it is smaller than the sum of its proper divisors (65055480).

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

22680840 is a wasteful number, since it uses less digits than its factorization.

22680840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22680840 is about 4762.4405508101. The cubic root of 22680840 is about 283.0651333640.

The spelling of 22680840 in words is "twenty-two million, six hundred eighty thousand, eight hundred forty".