22656240 has 160 divisors (see below), whose sum is σ = 82762560. Its totient is φ = 5677056.

The previous prime is 22656233. The next prime is 22656289. The reversal of 22656240 is 4265622.

22656240 is a `hidden beast` number, since 2 + 2 + 656 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 36412 + ... + 37028.

It is an arithmetic number, because the mean of its divisors is an integer number (517266).

Almost surely, 2^22656240 is an apocalyptic number.

22656240 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 22656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41381280).

22656240 is an abundant number, since it is smaller than the sum of its proper divisors (60106320).

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

22656240 is a wasteful number, since it uses less digits than its factorization.

22656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22656240 is about 4759.8571407134. The cubic root of 22656240 is about 282.9627573594.

The spelling of 22656240 in words is "twenty-two million, six hundred fifty-six thousand, two hundred forty".