22746816 has 168 divisors, whose sum is σ = 72749664. Its totient is φ = 6758400.

The previous prime is 22746811. The next prime is 22746821. The reversal of 22746816 is 61864722.

It is an interprime number because it is at equal distance from previous prime (22746811) and next prime (22746821).

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 (22746811) 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 23 ways as a sum of consecutive naturals, for example, 225166 + ... + 225266.

Almost surely, 2^22746816 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 22746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36374832).

22746816 is an abundant number, since it is smaller than the sum of its proper divisors (50002848).

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

22746816 is a wasteful number, since it uses less digits than its factorization.

22746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 22746816 is about 4769.3622215135. The cubic root of 22746816 is about 283.3393358205.

The spelling of 22746816 in words is "twenty-two million, seven hundred forty-six thousand, eight hundred sixteen".