164024 has 32 divisors (see below), whose sum is σ = 367200. Its totient is φ = 67200.

The previous prime is 164023. The next prime is 164039. The reversal of 164024 is 420461.

It is a Cunningham number, because it is equal to 405²-1.

It is a plaindrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 163993 and 164011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1574 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2¹⁶⁴⁰²⁴ is an apocalyptic number.

164024 is a gapful number since it is divisible by the number (14) 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 164024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

164024 is an abundant number, since it is smaller than the sum of its proper divisors (203176).

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

164024 is a wasteful number, since it uses less digits than its factorization.

164024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 164024 is about 404.9987654302. The cubic root of 164024 is about 54.7397067171.

Adding to 164024 its reverse (420461), we get a palindrome (584485).

The spelling of 164024 in words is "one hundred sixty-four thousand, twenty-four".