Multipling 162624 by its sum of digits (21), we get a square (3415104 = 18482).
162624 divided by its sum of digits (21) gives a square (7744 = 882).
Adding to 162624 its reverse (426261), we get a palindrome (588885).
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (84).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 162624.
It is a congruent number.
2162624 is an apocalyptic number.
162624 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 162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
162624 is a wasteful number, since it uses less digits than its factorization.
162624 is an evil number, because the sum of its binary digits is even.
The square root of 162624 is about 403.2666611561. The cubic root of 162624 is about 54.5835209027.
The spelling of 162624 in words is "one hundred sixty-two thousand, six hundred twenty-four".