22644864 has 96 divisors (see below), whose sum is σ = 71126640. Its totient is φ = 6858240.

The previous prime is 22644863. The next prime is 22644887. The reversal of 22644864 is 46844622.

It is a happy number.

22644864 is a `hidden beast` number, since 2 + 2 + 644 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is not an unprimeable number, because it can be changed into a prime (22644863) 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, 11779 + ... + 13565.

Almost surely, 2^22644864 is an apocalyptic number.

22644864 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 22644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35563320).

22644864 is an abundant number, since it is smaller than the sum of its proper divisors (48481776).

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

22644864 is a wasteful number, since it uses less digits than its factorization.

22644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1803 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 22644864 is about 4758.6619968222. The cubic root of 22644864 is about 282.9153896402.

The spelling of 22644864 in words is "twenty-two million, six hundred forty-four thousand, eight hundred sixty-four".