168432 has 60 divisors (see below), whose sum is σ = 494760. Its totient is φ = 49280.

The previous prime is 168409. The next prime is 168433. The reversal of 168432 is 234861.

It is a happy number.

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 one of the 548 Lynch-Bell numbers.

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 168432.

It is not an unprimeable number, because it can be changed into a prime (168433) by changing a digit.

168432 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, 5794 + ... + 5822.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2¹⁶⁸⁴³² is an apocalyptic number.

168432 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 168432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380).

168432 is an abundant number, since it is smaller than the sum of its proper divisors (326328).

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

168432 is a wasteful number, since it uses less digits than its factorization.

168432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 168432 is about 410.4046783359. The cubic root of 168432 is about 55.2257388892.

It can be divided in two parts, 16 and 8432, that added together give a palindrome (8448).

The spelling of 168432 in words is "one hundred sixty-eight thousand, four hundred thirty-two".