22005680 has 40 divisors (see below), whose sum is σ = 52361232. Its totient is φ = 8596224.

The previous prime is 22005679. The next prime is 22005703. The reversal of 22005680 is 8650022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242 + ... + 6638.

Almost surely, 2^22005680 is an apocalyptic number.

22005680 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 22005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26180616).

22005680 is an abundant number, since it is smaller than the sum of its proper divisors (30355552).

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

22005680 is a wasteful number, since it uses less digits than its factorization.

22005680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 22005680 is about 4691.0212107813. The cubic root of 22005680 is about 280.2280455108.

The spelling of 22005680 in words is "twenty-two million, five thousand, six hundred eighty".