22800640 has 72 divisors (see below), whose sum is σ = 55923840. Its totient is φ = 8902656.

The previous prime is 22800629. The next prime is 22800647. The reversal of 22800640 is 4600822.

It is not an unprimeable number, because it can be changed into a prime (22800647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59971 + ... + 60349.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^22800640 is an apocalyptic number.

22800640 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 22800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

22800640 is an abundant number, since it is smaller than the sum of its proper divisors (33123200).

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

22800640 is an equidigital number, since it uses as much as digits as its factorization.

22800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22800640 is about 4775.0015706804. The cubic root of 22800640 is about 283.5626409716.

The spelling of 22800640 in words is "twenty-two million, eight hundred thousand, six hundred forty".