163824 has 20 divisors (see below), whose sum is σ = 423336. Its totient is φ = 54592.

The previous prime is 163819. The next prime is 163841. The reversal of 163824 is 428361.

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 an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 163794 and 163803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1659 + ... + 1754.

2¹⁶³⁸²⁴ is an apocalyptic number.

It is an amenable number.

163824 is an abundant number, since it is smaller than the sum of its proper divisors (259512).

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

163824 is a wasteful number, since it uses less digits than its factorization.

163824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3418 counting only the distinct ones).

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

The square root of 163824 is about 404.7517757836. The cubic root of 163824 is about 54.7174490107.

The spelling of 163824 in words is "one hundred sixty-three thousand, eight hundred twenty-four".