163744 has 48 divisors (see below), whose sum is σ = 399168. Its totient is φ = 64512.

The previous prime is 163741. The next prime is 163753. The reversal of 163744 is 447361.

It is not an unprimeable number, because it can be changed into a prime (163741) 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, 3787 + ... + 3829.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2¹⁶³⁷⁴⁴ is an apocalyptic number.

163744 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 163744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584).

163744 is an abundant number, since it is smaller than the sum of its proper divisors (235424).

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

163744 is a wasteful number, since it uses less digits than its factorization.

163744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 163744 is about 404.6529377133. The cubic root of 163744 is about 54.7085408559.

It can be divided in two parts, 1637 and 44, that added together give a square (1681 = 41²).

The spelling of 163744 in words is "one hundred sixty-three thousand, seven hundred forty-four".