164500020 has 36 divisors (see below), whose sum is σ = 498983940. Its totient is φ = 43866624.

The previous prime is 164500001. The next prime is 164500027. The reversal of 164500020 is 20005461.

It is a happy number.

164500020 is a `hidden beast` number, since 1 + 645 + 0 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 83283876 = 9012^2 + 9126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 164499966 and 164500002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164500027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456765 + ... + 457124.

It is an arithmetic number, because the mean of its divisors is an integer number (13860665).

Almost surely, 2^164500020 is an apocalyptic number.

164500020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164500020 is an abundant number, since it is smaller than the sum of its proper divisors (334483920).

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

164500020 is a wasteful number, since it uses less digits than its factorization.

164500020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913904 (or 913899 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 164500020 is about 12825.7561180618. The cubic root of 164500020 is about 547.9260960240.

Adding to 164500020 its reverse (20005461), we get a palindrome (184505481).

The spelling of 164500020 in words is "one hundred sixty-four million, five hundred thousand, twenty".