22003968 has 72 divisors (see below), whose sum is σ = 66945088. Its totient is φ = 6285312.

The previous prime is 22003963. The next prime is 22003973. The reversal of 22003968 is 86930022.

It is an interprime number because it is at equal distance from previous prime (22003963) and next prime (22003973).

It is not an unprimeable number, because it can be changed into a prime (22003963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3330 + ... + 7422.

Almost surely, 2^22003968 is an apocalyptic number.

22003968 is a gapful number since it is divisible by the number (28) 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 22003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33472544).

22003968 is an abundant number, since it is smaller than the sum of its proper divisors (44941120).

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

22003968 is an equidigital number, since it uses as much as digits as its factorization.

22003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22003968 is about 4690.8387309734. The cubic root of 22003968 is about 280.2207782529.

The spelling of 22003968 in words is "twenty-two million, three thousand, nine hundred sixty-eight".