166632 has 32 divisors (see below), whose sum is σ = 427680. Its totient is φ = 54080.

The previous prime is 166631. The next prime is 166643. The reversal of 166632 is 236661.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166632.

It is not an unprimeable number, because it can be changed into a prime (166631) 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, 1207 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2¹⁶⁶⁶³² is an apocalyptic number.

166632 is a gapful number since it is divisible by the number (12) 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 166632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213840).

166632 is an abundant number, since it is smaller than the sum of its proper divisors (261048).

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

166632 is a wasteful number, since it uses less digits than its factorization.

166632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 166632 is about 408.2058304336. The cubic root of 166632 is about 55.0283049900.

The spelling of 166632 in words is "one hundred sixty-six thousand, six hundred thirty-two".