22827816 has 192 divisors, whose sum is σ = 74692800. Its totient is φ = 6220800.

The previous prime is 22827803. The next prime is 22827817. The reversal of 22827816 is 61872822.

It is a happy number.

It is a super-2 number, since 2×22827816² = 1042218366659712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22827817) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 556756 + ... + 556796.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 2^22827816 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 22827816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346400).

22827816 is an abundant number, since it is smaller than the sum of its proper divisors (51864984).

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

22827816 is a wasteful number, since it uses less digits than its factorization.

22827816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22827816 is about 4777.8463767685. The cubic root of 22827816 is about 283.6752553358.

The spelling of 22827816 in words is "twenty-two million, eight hundred twenty-seven thousand, eight hundred sixteen".