967808 has 16 divisors (see below), whose sum is σ = 1928310. Its totient is φ = 483840.

The previous prime is 967787. The next prime is 967819. The reversal of 967808 is 808769.

It can be written as a sum of positive squares in only one way, i.e., 906304 + 61504 = 952^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 3653 + ... + 3908.

2⁹⁶⁷⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

967808 is a deficient number, since it is larger than the sum of its proper divisors (960502).

967808 is an equidigital number, since it uses as much as digits as its factorization.

967808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 967808 is about 983.7723313857. The cubic root of 967808 is about 98.9152081516.

The spelling of 967808 in words is "nine hundred sixty-seven thousand, eight hundred eight".