164048384 has 40 divisors (see below), whose sum is σ = 329037720. Its totient is φ = 81709056.

The previous prime is 164048383. The next prime is 164048429. The reversal of 164048384 is 483840461.

It is a super-2 number, since 2×164048384² = 53823744586022912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164048383) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 190547 + ... + 191405.

It is an arithmetic number, because the mean of its divisors is an integer number (8225943).

Almost surely, 2^164048384 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 164048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164518860).

164048384 is an abundant number, since it is smaller than the sum of its proper divisors (164989336).

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

164048384 is an frugal number, since it uses more digits than its factorization.

164048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 164048384 is about 12808.1374133790. The cubic root of 164048384 is about 547.4241913900.

The spelling of 164048384 in words is "one hundred sixty-four million, forty-eight thousand, three hundred eighty-four".