216504 has 48 divisors (see below), whose sum is σ = 611520. Its totient is φ = 69120.

The previous prime is 216493. The next prime is 216509. The reversal of 216504 is 405612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216509) by changing a digit.

216504 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 11 ways as a sum of consecutive naturals, for example, 2184 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2²¹⁶⁵⁰⁴ is an apocalyptic number.

216504 is a gapful number since it is divisible by the number (24) 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 216504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

216504 is an abundant number, since it is smaller than the sum of its proper divisors (395016).

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

216504 is a wasteful number, since it uses less digits than its factorization.

216504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 216504 is about 465.2999032882. The cubic root of 216504 is about 60.0466304173.

The spelling of 216504 in words is "two hundred sixteen thousand, five hundred four".