22075680 has 192 divisors, whose sum is σ = 78599808. Its totient is φ = 5160960.

The previous prime is 22075679. The next prime is 22075687. The reversal of 22075680 is 8657022.

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

It is not an unprimeable number, because it can be changed into a prime (22075687) 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, 195304 + ... + 195416.

It is an arithmetic number, because the mean of its divisors is an integer number (409374).

Almost surely, 2^22075680 is an apocalyptic number.

22075680 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 22075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299904).

22075680 is an abundant number, since it is smaller than the sum of its proper divisors (56524128).

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

22075680 is a wasteful number, since it uses less digits than its factorization.

22075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 22075680 is about 4698.4763487752. The cubic root of 22075680 is about 280.5248658534.

It can be divided in two parts, 2207 and 5680, that added together give a palindrome (7887).

The spelling of 22075680 in words is "twenty-two million, seventy-five thousand, six hundred eighty".