967968 has 36 divisors (see below), whose sum is σ = 2753478. Its totient is φ = 322560.

The previous prime is 967961. The next prime is 967979. The reversal of 967968 is 869769.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 242064 = 852^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (967961) by changing a digit.

967968 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 5 ways as a sum of consecutive naturals, for example, 1393 + ... + 1968.

2⁹⁶⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

967968 is an abundant number, since it is smaller than the sum of its proper divisors (1785510).

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

967968 is a wasteful number, since it uses less digits than its factorization.

967968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3366 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 967968 is about 983.8536476529. The cubic root of 967968 is about 98.9206588061.

The spelling of 967968 in words is "nine hundred sixty-seven thousand, nine hundred sixty-eight".