967456 has 36 divisors (see below), whose sum is σ = 2219238. Its totient is φ = 413952.

The previous prime is 967451. The next prime is 967459. The reversal of 967456 is 654769.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 7056 = 980^2 + 84^2 .

It is a super-2 number, since 2×967456² = 1871942223872, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (967451) 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, 1260 + ... + 1876.

2⁹⁶⁷⁴⁵⁶ 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 967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109619).

967456 is an abundant number, since it is smaller than the sum of its proper divisors (1251782).

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

967456 is a wasteful number, since it uses less digits than its factorization.

967456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 967456 is about 983.5934119340. The cubic root of 967456 is about 98.9032145966.

It can be divided in two parts, 9674 and 56, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 967456 in words is "nine hundred sixty-seven thousand, four hundred fifty-six".