22464864 has 108 divisors (see below), whose sum is σ = 66958164. Its totient is φ = 7418304.

The previous prime is 22464857. The next prime is 22464887. The reversal of 22464864 is 46846422.

It is a happy number.

22464864 is a `hidden beast` number, since 2 + 2 + 4 + 648 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×22464864² = 1009340229076992, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 209899 + ... + 210005.

It is an arithmetic number, because the mean of its divisors is an integer number (619983).

Almost surely, 2^22464864 is an apocalyptic number.

22464864 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 22464864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33479082).

22464864 is an abundant number, since it is smaller than the sum of its proper divisors (44493300).

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

22464864 is an frugal number, since it uses more digits than its factorization.

22464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

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

The square root of 22464864 is about 4739.7113836182. The cubic root of 22464864 is about 282.1637799181.

The spelling of 22464864 in words is "twenty-two million, four hundred sixty-four thousand, eight hundred sixty-four".