163936 has 24 divisors (see below), whose sum is σ = 332640. Its totient is φ = 79488.

The previous prime is 163927. The next prime is 163973. The reversal of 163936 is 639361.

It is a congruent number.

It is an unprimeable number.

163936 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 3 ways as a sum of consecutive naturals, for example, 1450 + ... + 1558.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹⁶³⁹³⁶ is an apocalyptic number.

163936 is a gapful number since it is divisible by the number (16) 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 163936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320).

163936 is an abundant number, since it is smaller than the sum of its proper divisors (168704).

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

163936 is a wasteful number, since it uses less digits than its factorization.

163936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 163936 is about 404.8901085480. The cubic root of 163936 is about 54.7299155566.

The spelling of 163936 in words is "one hundred sixty-three thousand, nine hundred thirty-six".