22968000 has 336 divisors, whose sum is σ = 92720160. Its totient is φ = 5376000.

The previous prime is 22967957. The next prime is 22968047. The reversal of 22968000 is 86922.

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, 791986 + ... + 792014.

Almost surely, 2^22968000 is an apocalyptic number.

22968000 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 22968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

22968000 is an abundant number, since it is smaller than the sum of its proper divisors (69752160).

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

22968000 is a wasteful number, since it uses less digits than its factorization.

22968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22968000 is about 4792.4941314518. The cubic root of 22968000 is about 284.2547472886.

It can be divided in two parts, 2296 and 8000, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 22968000 in words is "twenty-two million, nine hundred sixty-eight thousand".