164531220 has 144 divisors (see below), whose sum is σ = 540546048. Its totient is φ = 37282560.

The previous prime is 164531183. The next prime is 164531221. The reversal of 164531220 is 22135461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164531221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561394 + ... + 561686.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^164531220 is an apocalyptic number.

164531220 is a gapful number since it is divisible by the number (10) 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 164531220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270273024).

164531220 is an abundant number, since it is smaller than the sum of its proper divisors (376014828).

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

164531220 is a wasteful number, since it uses less digits than its factorization.

164531220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164531220 is about 12826.9723629546. The cubic root of 164531220 is about 547.9607347504.

Adding to 164531220 its reverse (22135461), we get a palindrome (186666681).

The spelling of 164531220 in words is "one hundred sixty-four million, five hundred thirty-one thousand, two hundred twenty".