22626240 has 336 divisors, whose sum is σ = 92427552. Its totient is φ = 4644864.

The previous prime is 22626239. The next prime is 22626251. The reversal of 22626240 is 4262622.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22626240.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 611502 + ... + 611538.

It is an arithmetic number, because the mean of its divisors is an integer number (275082).

Almost surely, 2^22626240 is an apocalyptic number.

22626240 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 22626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46213776).

22626240 is an abundant number, since it is smaller than the sum of its proper divisors (69801312).

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

22626240 is a wasteful number, since it uses less digits than its factorization.

22626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22626240 is about 4756.7047417304. The cubic root of 22626240 is about 282.8378082314.

Adding to 22626240 its reverse (4262622), we get a palindrome (26888862).

The spelling of 22626240 in words is "twenty-two million, six hundred twenty-six thousand, two hundred forty".