166824 has 48 divisors (see below), whose sum is σ = 517920. Its totient is φ = 47520.

The previous prime is 166823. The next prime is 166841. The reversal of 166824 is 428661.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (10790).

2¹⁶⁶⁸²⁴ is an apocalyptic number.

166824 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 166824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258960).

166824 is an abundant number, since it is smaller than the sum of its proper divisors (351096).

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

166824 is a wasteful number, since it uses less digits than its factorization.

166824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 166824 is about 408.4409382028. The cubic root of 166824 is about 55.0494321428.

It can be divided in two parts, 166 and 824, that added together give a triangular number (990 = T₄₄).

The spelling of 166824 in words is "one hundred sixty-six thousand, eight hundred twenty-four".