164314220 has 48 divisors (see below), whose sum is σ = 397051200. Its totient is φ = 55951104.

The previous prime is 164314219. The next prime is 164314253. The reversal of 164314220 is 22413461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16922 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (8271900).

Almost surely, 2^164314220 is an apocalyptic number.

164314220 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 164314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198525600).

164314220 is an abundant number, since it is smaller than the sum of its proper divisors (232736980).

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

164314220 is a wasteful number, since it uses less digits than its factorization.

164314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 164314220 is about 12818.5108339464. The cubic root of 164314220 is about 547.7197272110.

Adding to 164314220 its reverse (22413461), we get a palindrome (186727681).

The spelling of 164314220 in words is "one hundred sixty-four million, three hundred fourteen thousand, two hundred twenty".