164088 has 48 divisors (see below), whose sum is σ = 463320. Its totient is φ = 52416.

The previous prime is 164071. The next prime is 164089. The reversal of 164088 is 880461.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164089) by changing a digit.

164088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3070 + ... + 3122.

2¹⁶⁴⁰⁸⁸ is an apocalyptic number.

164088 is a gapful number since it is divisible by the number (18) 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 164088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231660).

164088 is an abundant number, since it is smaller than the sum of its proper divisors (299232).

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

164088 is a wasteful number, since it uses less digits than its factorization.

164088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 164088 is about 405.0777703108. The cubic root of 164088 is about 54.7468253617.

It can be divided in two parts, 1640 and 88, that added together give a cube (1728 = 12³).

The spelling of 164088 in words is "one hundred sixty-four thousand, eighty-eight".