164384560 has 40 divisors (see below), whose sum is σ = 404679456. Its totient is φ = 61885440.

The previous prime is 164384551. The next prime is 164384579. The reversal of 164384560 is 65483461.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59076 + ... + 61795.

Almost surely, 2^164384560 is an apocalyptic number.

164384560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164384560 is an abundant number, since it is smaller than the sum of its proper divisors (240294896).

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

164384560 is a wasteful number, since it uses less digits than its factorization.

164384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120901 (or 120895 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 164384560 is about 12821.2542288186. The cubic root of 164384560 is about 547.7978724245.

The spelling of 164384560 in words is "one hundred sixty-four million, three hundred eighty-four thousand, five hundred sixty".