22768896 has 72 divisors (see below), whose sum is σ = 63282240. Its totient is φ = 7254016.

The previous prime is 22768883. The next prime is 22768903. The reversal of 22768896 is 69886722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17020 + ... + 18308.

It is an arithmetic number, because the mean of its divisors is an integer number (878920).

Almost surely, 2^22768896 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 22768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641120).

22768896 is an abundant number, since it is smaller than the sum of its proper divisors (40513344).

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

22768896 is a wasteful number, since it uses less digits than its factorization.

22768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 22768896 is about 4771.6764349650. The cubic root of 22768896 is about 283.4309839495.

The spelling of 22768896 in words is "twenty-two million, seven hundred sixty-eight thousand, eight hundred ninety-six".