167424 has 40 divisors (see below), whose sum is σ = 450120. Its totient is φ = 55296.

The previous prime is 167423. The next prime is 167429. The reversal of 167424 is 424761.

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

It is a junction number, because it is equal to n+sod(n) for n = 167394 and 167403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1482 + ... + 1590.

It is an arithmetic number, because the mean of its divisors is an integer number (11253).

2¹⁶⁷⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225060).

167424 is an abundant number, since it is smaller than the sum of its proper divisors (282696).

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

167424 is an equidigital number, since it uses as much as digits as its factorization.

167424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 167424 is about 409.1747792814. The cubic root of 167424 is about 55.1153501961.

The spelling of 167424 in words is "one hundred sixty-seven thousand, four hundred twenty-four".