20164320 has 288 divisors, whose sum is σ = 80196480. Its totient is φ = 4561920.

The previous prime is 20164283. The next prime is 20164321. The reversal of 20164320 is 2346102.

It is a happy number.

20164320 is a `hidden beast` number, since 2 + 0 + 1 + 643 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20164293 and 20164302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20164321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300927 + ... + 300993.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 2^20164320 is an apocalyptic number.

20164320 is a gapful number since it is divisible by the number (20) 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 20164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

20164320 is an abundant number, since it is smaller than the sum of its proper divisors (60032160).

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

20164320 is a wasteful number, since it uses less digits than its factorization.

20164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20164320 is about 4490.4699085953. The cubic root of 20164320 is about 272.1831235129.

It can be divided in two parts, 2016 and 4320, that added together give a palindrome (6336).

The spelling of 20164320 in words is "twenty million, one hundred sixty-four thousand, three hundred twenty".