22009968 has 160 divisors (see below), whose sum is σ = 69549120. Its totient is φ = 6718464.

The previous prime is 22009963. The next prime is 22009973. The reversal of 22009968 is 86990022.

It is an interprime number because it is at equal distance from previous prime (22009963) and next prime (22009973).

It is a super-2 number, since 2×22009968² = 968877382722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22009963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594846 + ... + 594882.

It is an arithmetic number, because the mean of its divisors is an integer number (434682).

Almost surely, 2^22009968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34774560).

22009968 is an abundant number, since it is smaller than the sum of its proper divisors (47539152).

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

22009968 is an equidigital number, since it uses as much as digits as its factorization.

22009968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 22009968 is about 4691.4782318583. The cubic root of 22009968 is about 280.2462459606.

The spelling of 22009968 in words is "twenty-two million, nine thousand, nine hundred sixty-eight".