164540 has 24 divisors (see below), whose sum is σ = 364560. Its totient is φ = 62208.

The previous prime is 164531. The next prime is 164569. The reversal of 164540 is 45461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

164540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (15190).

2¹⁶⁴⁵⁴⁰ is an apocalyptic number.

164540 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 164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

164540 is an abundant number, since it is smaller than the sum of its proper divisors (200020).

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

164540 is a wasteful number, since it uses less digits than its factorization.

164540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 164540 is about 405.6353041834. The cubic root of 164540 is about 54.7970481654.

The spelling of 164540 in words is "one hundred sixty-four thousand, five hundred forty".