164517120 has 108 divisors (see below), whose sum is σ = 569251956. Its totient is φ = 43868160.

The previous prime is 164517113. The next prime is 164517121. The reversal of 164517120 is 21715461.

It is a happy number.

164517120 is a `hidden beast` number, since 1 + 645 + 1 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 147476736 = 4128^2 + 12144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164517121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380 + ... + 18660.

Almost surely, 2^164517120 is an apocalyptic number.

164517120 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 164517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284625978).

164517120 is an abundant number, since it is smaller than the sum of its proper divisors (404734836).

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

164517120 is a wasteful number, since it uses less digits than its factorization.

164517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 164517120 is about 12826.4227281031. The cubic root of 164517120 is about 547.9450812529.

The spelling of 164517120 in words is "one hundred sixty-four million, five hundred seventeen thousand, one hundred twenty".