22088640 has 224 divisors, whose sum is σ = 84856320. Its totient is φ = 4755456.

The previous prime is 22088611. The next prime is 22088641. The reversal of 22088640 is 4688022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 22088598 and 22088607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22088641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127594 + ... + 127766.

Almost surely, 2^22088640 is an apocalyptic number.

22088640 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 22088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42428160).

22088640 is an abundant number, since it is smaller than the sum of its proper divisors (62767680).

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

22088640 is a wasteful number, since it uses less digits than its factorization.

22088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

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

The square root of 22088640 is about 4699.8553169220. The cubic root of 22088640 is about 280.5797511546.

The spelling of 22088640 in words is "twenty-two million, eighty-eight thousand, six hundred forty".