22853664 has 72 divisors (see below), whose sum is σ = 67420080. Its totient is φ = 7615296.

The previous prime is 22853659. The next prime is 22853669. The reversal of 22853664 is 46635822.

It is an interprime number because it is at equal distance from previous prime (22853659) and next prime (22853669).

It is a tau number, because it is divible by the number of its divisors (72).

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 (22853669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6307 + ... + 9245.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 2^22853664 is an apocalyptic number.

22853664 is a gapful number since it is divisible by the number (24) 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 22853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33710040).

22853664 is an abundant number, since it is smaller than the sum of its proper divisors (44566416).

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

22853664 is an equidigital number, since it uses as much as digits as its factorization.

22853664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2944 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 22853664 is about 4780.5505959042. The cubic root of 22853664 is about 283.7822837119.

The spelling of 22853664 in words is "twenty-two million, eight hundred fifty-three thousand, six hundred sixty-four".