966800 has 30 divisors (see below), whose sum is σ = 2323698. Its totient is φ = 386560.

The previous prime is 966781. The next prime is 966803. The reversal of 966800 is 8669.

It can be written as a sum of positive squares in 3 ways, for example, as 274576 + 692224 = 524^2 + 832^2 .

It is not an unprimeable number, because it can be changed into a prime (966803) by changing a digit.

966800 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 5 ways as a sum of consecutive naturals, for example, 809 + ... + 1608.

2⁹⁶⁶⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

966800 is an abundant number, since it is smaller than the sum of its proper divisors (1356898).

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

966800 is a wasteful number, since it uses less digits than its factorization.

966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 966800 is about 983.2598842625. The cubic root of 966800 is about 98.8808552064.

The spelling of 966800 in words is "nine hundred sixty-six thousand, eight hundred".