22509648 has 120 divisors (see below), whose sum is σ = 72965568. Its totient is φ = 6345216.

The previous prime is 22509637. The next prime is 22509677. The reversal of 22509648 is 84690522.

It is a happy number.

22509648 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 9 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138015 + ... + 138177.

Almost surely, 2^22509648 is an apocalyptic number.

22509648 is a gapful number since it is divisible by the number (28) 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 22509648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36482784).

22509648 is an abundant number, since it is smaller than the sum of its proper divisors (50455920).

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

22509648 is a wasteful number, since it uses less digits than its factorization.

22509648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22509648 is about 4744.4333697503. The cubic root of 22509648 is about 282.3511545230.

The spelling of 22509648 in words is "twenty-two million, five hundred nine thousand, six hundred forty-eight".