164049984 has 336 divisors, whose sum is σ = 589605120. Its totient is φ = 42577920.

The previous prime is 164049959. The next prime is 164050027. The reversal of 164049984 is 489940461.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689314 + ... + 2689374.

Almost surely, 2^164049984 is an apocalyptic number.

164049984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294802560).

164049984 is an abundant number, since it is smaller than the sum of its proper divisors (425555136).

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

164049984 is a wasteful number, since it uses less digits than its factorization.

164049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 164049984 is about 12808.1998735185. The cubic root of 164049984 is about 547.4259711005.

The spelling of 164049984 in words is "one hundred sixty-four million, forty-nine thousand, nine hundred eighty-four".