164238984 has 144 divisors (see below), whose sum is σ = 557395020. Its totient is φ = 43303680.

The previous prime is 164238979. The next prime is 164239001. The reversal of 164238984 is 489832461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 164096100 + 142884 = 12810^2 + 378^2 .

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 44074 + ... + 47654.

Almost surely, 2^164238984 is an apocalyptic number.

164238984 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 164238984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278697510).

164238984 is an abundant number, since it is smaller than the sum of its proper divisors (393156036).

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

164238984 is a wasteful number, since it uses less digits than its factorization.

164238984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3606 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 164238984 is about 12815.5758356775. The cubic root of 164238984 is about 547.6361180293.

The spelling of 164238984 in words is "one hundred sixty-four million, two hundred thirty-eight thousand, nine hundred eighty-four".