20131164 has 72 divisors (see below), whose sum is σ = 54486432. Its totient is φ = 6251520.

The previous prime is 20131147. The next prime is 20131207. The reversal of 20131164 is 46113102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33652 + ... + 34244.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 2^20131164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243216).

20131164 is an abundant number, since it is smaller than the sum of its proper divisors (34355268).

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

20131164 is a wasteful number, since it uses less digits than its factorization.

20131164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20131164 is about 4486.7765712146. The cubic root of 20131164 is about 272.0338589626.

Adding to 20131164 its reverse (46113102), we get a palindrome (66244266).

The spelling of 20131164 in words is "twenty million, one hundred thirty-one thousand, one hundred sixty-four".