961008 has 20 divisors (see below), whose sum is σ = 2482728. Its totient is φ = 320320.

The previous prime is 961003. The next prime is 961021. The reversal of 961008 is 800169.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961008.

It is not an unprimeable number, because it can be changed into a prime (961003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9963 + ... + 10058.

2⁹⁶¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

961008 is an abundant number, since it is smaller than the sum of its proper divisors (1521720).

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

961008 is a wasteful number, since it uses less digits than its factorization.

961008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20032 (or 20026 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 961008 is about 980.3101550020. The cubic root of 961008 is about 98.6829978649.

The spelling of 961008 in words is "nine hundred sixty-one thousand, eight".