164117520 has 120 divisors (see below), whose sum is σ = 629918016. Its totient is φ = 37511424.

The previous prime is 164117483. The next prime is 164117531. The reversal of 164117520 is 25711461.

It is a happy number.

164117520 is a `hidden beast` number, since 1 + 641 + 17 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11242 + ... + 21321.

Almost surely, 2^164117520 is an apocalyptic number.

164117520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164117520 is an abundant number, since it is smaller than the sum of its proper divisors (465800496).

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

164117520 is a wasteful number, since it uses less digits than its factorization.

164117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32589 (or 32580 counting only the distinct ones).

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

The square root of 164117520 is about 12810.8360382920. The cubic root of 164117520 is about 547.5010821271.

Adding to 164117520 its reverse (25711461), we get a palindrome (189828981).

The spelling of 164117520 in words is "one hundred sixty-four million, one hundred seventeen thousand, five hundred twenty".