177968 has 30 divisors (see below), whose sum is σ = 402876. Its totient is φ = 75936.

The previous prime is 177967. The next prime is 177979. The reversal of 177968 is 869771.

It is a happy number.

177968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (177967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 671 + ... + 897.

2¹⁷⁷⁹⁶⁸ 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 177968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201438).

177968 is an abundant number, since it is smaller than the sum of its proper divisors (224908).

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

177968 is a wasteful number, since it uses less digits than its factorization.

177968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its digits is 21168, while the sum is 38.

The square root of 177968 is about 421.8625368529. The cubic root of 177968 is about 56.2488921593.

The spelling of 177968 in words is "one hundred seventy-seven thousand, nine hundred sixty-eight".