22641408 has 108 divisors (see below), whose sum is σ = 67599168. Its totient is φ = 7280640.

The previous prime is 22641397. The next prime is 22641419. The reversal of 22641408 is 80414622.

It is an interprime number because it is at equal distance from previous prime (22641397) and next prime (22641419).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 71266 + ... + 71582.

Almost surely, 2^22641408 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 22641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799584).

22641408 is an abundant number, since it is smaller than the sum of its proper divisors (44957760).

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

22641408 is a wasteful number, since it uses less digits than its factorization.

22641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22641408 is about 4758.2988556836. The cubic root of 22641408 is about 282.9009963054.

The spelling of 22641408 in words is "twenty-two million, six hundred forty-one thousand, four hundred eight".