906800 has 30 divisors (see below), whose sum is σ = 2179548. Its totient is φ = 362560.

The previous prime is 906793. The next prime is 906809. The reversal of 906800 is 8609.

906800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (906809) by changing a digit.

906800 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 in 5 ways as a sum of consecutive naturals, for example, 734 + ... + 1533.

2⁹⁰⁶⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

906800 is an abundant number, since it is smaller than the sum of its proper divisors (1272748).

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

906800 is a wasteful number, since it uses less digits than its factorization.

906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 906800 is about 952.2604685694. The cubic root of 906800 is about 96.7914889040.

The spelling of 906800 in words is "nine hundred six thousand, eight hundred".