160968 has 32 divisors (see below), whose sum is σ = 424800. Its totient is φ = 50688.

The previous prime is 160967. The next prime is 160969. The reversal of 160968 is 869061.

It is an interprime number because it is at equal distance from previous prime (160967) and next prime (160969).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (160967) 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, 280 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (13275).

2¹⁶⁰⁹⁶⁸ 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 160968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212400).

160968 is an abundant number, since it is smaller than the sum of its proper divisors (263832).

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

160968 is a wasteful number, since it uses less digits than its factorization.

160968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 160968 is about 401.2081753903. The cubic root of 160968 is about 54.3976137938.

It can be divided in two parts, 160 and 968, that added together give a triangular number (1128 = T₄₇).

The spelling of 160968 in words is "one hundred sixty thousand, nine hundred sixty-eight".