22611648 has 112 divisors (see below), whose sum is σ = 64373760. Its totient is φ = 6988800.

The previous prime is 22611637. The next prime is 22611671. The reversal of 22611648 is 84611622.

It is a super-2 number, since 2×22611648² = 1022573250551808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172543 + ... + 172673.

Almost surely, 2^22611648 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 22611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186880).

22611648 is an abundant number, since it is smaller than the sum of its proper divisors (41762112).

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

22611648 is a wasteful number, since it uses less digits than its factorization.

22611648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 22611648 is about 4755.1706593980. The cubic root of 22611648 is about 282.7769930475.

The spelling of 22611648 in words is "twenty-two million, six hundred eleven thousand, six hundred forty-eight".