49168 has 20 divisors (see below), whose sum is σ = 109120. Its totient is φ = 21024.

The previous prime is 49157. The next prime is 49169. The reversal of 49168 is 86194.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁷ + 9 + 1 + 6 + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (49169) by changing a digit.

49168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 331.

It is an arithmetic number, because the mean of its divisors is an integer number (5456).

2⁴⁹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

49168 is an abundant number, since it is smaller than the sum of its proper divisors (59952).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54560).

49168 is a wasteful number, since it uses less digits than its factorization.

49168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 49168 is about 221.7385848246. The cubic root of 49168 is about 36.6348300327.

The spelling of 49168 in words is "forty-nine thousand, one hundred sixty-eight".