164517880 has 32 divisors (see below), whose sum is σ = 370594800. Its totient is φ = 65730816.

The previous prime is 164517851. The next prime is 164517887. The reversal of 164517880 is 88715461.

It is a super-2 number, since 2×164517880² = 54132265679388800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164517887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43339 + ... + 46981.

Almost surely, 2^164517880 is an apocalyptic number.

164517880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164517880 is an abundant number, since it is smaller than the sum of its proper divisors (206076920).

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

164517880 is a wasteful number, since it uses less digits than its factorization.

164517880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 164517880 is about 12826.4523544120. The cubic root of 164517880 is about 547.9459250104.

The spelling of 164517880 in words is "one hundred sixty-four million, five hundred seventeen thousand, eight hundred eighty".