968008 has 8 divisors (see below), whose sum is σ = 1815030. Its totient is φ = 484000.

The previous prime is 968003. The next prime is 968017. The reversal of 968008 is 800869.

It can be written as a sum of positive squares in only one way, i.e., 806404 + 161604 = 898^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (968003) by changing a digit.

968008 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 as a sum of consecutive naturals, namely, 60493 + ... + 60508.

2⁹⁶⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

968008 is a deficient number, since it is larger than the sum of its proper divisors (847022).

968008 is a wasteful number, since it uses less digits than its factorization.

968008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121007 (or 121003 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 968008 is about 983.8739756696. The cubic root of 968008 is about 98.9220213759.

It can be divided in two parts, 96800 and 8, that multiplied together give a square (774400 = 880²).

The spelling of 968008 in words is "nine hundred sixty-eight thousand, eight".