967296 has 64 divisors (see below), whose sum is σ = 2815200. Its totient is φ = 291840.

The previous prime is 967289. The next prime is 967297. The reversal of 967296 is 692769.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (967297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4110 + ... + 4338.

2⁹⁶⁷²⁹⁶ is an apocalyptic number.

967296 is a gapful number since it is divisible by the number (96) 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 967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407600).

967296 is an abundant number, since it is smaller than the sum of its proper divisors (1847904).

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

967296 is a wasteful number, since it uses less digits than its factorization.

967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 967296 is about 983.5120741506. The cubic root of 967296 is about 98.8977620190.

The spelling of 967296 in words is "nine hundred sixty-seven thousand, two hundred ninety-six".