164120 has 32 divisors (see below), whose sum is σ = 403920. Its totient is φ = 59520.

The previous prime is 164117. The next prime is 164147. The reversal of 164120 is 21461.

It is a junction number, because it is equal to n+sod(n) for n = 164095 and 164104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254 + ... + 626.

2¹⁶⁴¹²⁰ is an apocalyptic number.

164120 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 164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201960).

164120 is an abundant number, since it is smaller than the sum of its proper divisors (239800).

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

164120 is a wasteful number, since it uses less digits than its factorization.

164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 164120 is about 405.1172669734. The cubic root of 164120 is about 54.7503839899.

Adding to 164120 its reverse (21461), we get a palindrome (185581).

It can be divided in two parts, 1641 and 20, that added together give a palindrome (1661).

The spelling of 164120 in words is "one hundred sixty-four thousand, one hundred twenty".