906900 has 36 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 241760.

The previous prime is 906881. The next prime is 906901. The reversal of 906900 is 9609.

It is a super-2 number, since 2×906900² = 1644935220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906901) by changing a digit.

906900 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

2⁹⁰⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

906900 is an abundant number, since it is smaller than the sum of its proper divisors (1717932).

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

906900 is a wasteful number, since it uses less digits than its factorization.

906900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 906900 is about 952.3129737644. The cubic root of 906900 is about 96.7950467606.

The spelling of 906900 in words is "nine hundred six thousand, nine hundred".