164000 has 48 divisors (see below), whose sum is σ = 412776. Its totient is φ = 64000.

The previous prime is 163997. The next prime is 164011. The reversal of 164000 is 461.

164000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 150544 = 116^2 + 388^2 .

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3980 + ... + 4020.

2¹⁶⁴⁰⁰⁰ is an apocalyptic number.

164000 is a gapful number since it is divisible by the number (10) 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 164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

164000 is an abundant number, since it is smaller than the sum of its proper divisors (248776).

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

164000 is an equidigital number, since it uses as much as digits as its factorization.

164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 164000 is about 404.9691346263. The cubic root of 164000 is about 54.7370367480.

Adding to 164000 its reverse (461), we get a palindrome (164461).

It can be divided in two parts, 16 and 4000, that multiplied together give a cube (64000 = 40³).

The spelling of 164000 in words is "one hundred sixty-four thousand".