164720 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 62720.

The previous prime is 164707. The next prime is 164729. The reversal of 164720 is 27461.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 164692 and 164701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164729) by changing a digit.

164720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2285 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁶⁴⁷²⁰ is an apocalyptic number.

164720 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 164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

164720 is an abundant number, since it is smaller than the sum of its proper divisors (237040).

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

164720 is a wasteful number, since it uses less digits than its factorization.

164720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 164720 is about 405.8571177151. The cubic root of 164720 is about 54.8170227898.

The spelling of 164720 in words is "one hundred sixty-four thousand, seven hundred twenty".