164407984 has 40 divisors (see below), whose sum is σ = 348883920. Its totient is φ = 74588928.

The previous prime is 164407939. The next prime is 164408011. The reversal of 164407984 is 489704461.

It is a super-3 number, since 3×164407984³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164407984.

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, 5574 + ... + 18970.

It is an arithmetic number, because the mean of its divisors is an integer number (8722098).

Almost surely, 2^164407984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164407984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174441960).

164407984 is an abundant number, since it is smaller than the sum of its proper divisors (184475936).

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

164407984 is a wasteful number, since it uses less digits than its factorization.

164407984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13477 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 164407984 is about 12822.1676794526. The cubic root of 164407984 is about 547.8238906993.

The spelling of 164407984 in words is "one hundred sixty-four million, four hundred seven thousand, nine hundred eighty-four".