20605344 has 24 divisors (see below), whose sum is σ = 54089280. Its totient is φ = 6868416.

The previous prime is 20605339. The next prime is 20605349. The reversal of 20605344 is 44350602.

It is an interprime number because it is at equal distance from previous prime (20605339) and next prime (20605349).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×20605344³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20605349) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 107224 + ... + 107415.

It is an arithmetic number, because the mean of its divisors is an integer number (2253720).

Almost surely, 2^20605344 is an apocalyptic number.

20605344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20605344 is an abundant number, since it is smaller than the sum of its proper divisors (33483936).

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

20605344 is a wasteful number, since it uses less digits than its factorization.

20605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214652 (or 214644 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20605344 is about 4539.3109609279. The cubic root of 20605344 is about 274.1531812589.

Adding to 20605344 its reverse (44350602), we get a palindrome (64955946).

The spelling of 20605344 in words is "twenty million, six hundred five thousand, three hundred forty-four".