164016384 has 72 divisors (see below), whose sum is σ = 498899520. Its totient is φ = 46860288.

The previous prime is 164016317. The next prime is 164016421. The reversal of 164016384 is 483610461.

It is a super-3 number, since 3×164016384³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9879 + ... + 20630.

It is an arithmetic number, because the mean of its divisors is an integer number (6929160).

Almost surely, 2^164016384 is an apocalyptic number.

164016384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164016384 is an abundant number, since it is smaller than the sum of its proper divisors (334883136).

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

164016384 is an equidigital number, since it uses as much as digits as its factorization.

164016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30535 (or 30521 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 164016384 is about 12806.8881466186. Note that the first 3 decimals coincide. The cubic root of 164016384 is about 547.3885947511.

The spelling of 164016384 in words is "one hundred sixty-four million, sixteen thousand, three hundred eighty-four".