22890816 has 112 divisors (see below), whose sum is σ = 72542400. Its totient is φ = 7036416.

The previous prime is 22890793. The next prime is 22890817. The reversal of 22890816 is 61809822.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22890817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21955 + ... + 22973.

It is an arithmetic number, because the mean of its divisors is an integer number (647700).

Almost surely, 2^22890816 is an apocalyptic number.

22890816 is a gapful number since it is divisible by the number (26) 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 22890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271200).

22890816 is an abundant number, since it is smaller than the sum of its proper divisors (49651584).

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

22890816 is a wasteful number, since it uses less digits than its factorization.

22890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 22890816 is about 4784.4347628534. The cubic root of 22890816 is about 283.9359771043.

The spelling of 22890816 in words is "twenty-two million, eight hundred ninety thousand, eight hundred sixteen".