164388 has 48 divisors (see below), whose sum is σ = 465920. Its totient is φ = 44064.

The previous prime is 164387. The next prime is 164413. The reversal of 164388 is 883461.

164388 = T₇₇ + T₇₈ + ... + T₁₁₂.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164388.

It is not an unprimeable number, because it can be changed into a prime (164387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545 + ... + 1647.

2¹⁶⁴³⁸⁸ 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 164388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232960).

164388 is an abundant number, since it is smaller than the sum of its proper divisors (301532).

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

164388 is a wasteful number, since it uses less digits than its factorization.

164388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 164388 is about 405.4479004755. The cubic root of 164388 is about 54.7801693569.

The spelling of 164388 in words is "one hundred sixty-four thousand, three hundred eighty-eight".