900688 has 20 divisors (see below), whose sum is σ = 1788948. Its totient is φ = 439040.

The previous prime is 900673. The next prime is 900689. The reversal of 900688 is 886009.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 399424 = 708^2 + 632^2 .

It is a super-2 number, since 2×900688² = 1622477746688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900689) by changing a digit.

900688 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 3 ways as a sum of consecutive naturals, for example, 31 + ... + 1342.

2⁹⁰⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

900688 is a deficient number, since it is larger than the sum of its proper divisors (888260).

900688 is a wasteful number, since it uses less digits than its factorization.

900688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

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

The square root of 900688 is about 949.0458366170. The cubic root of 900688 is about 96.5735342941.

The spelling of 900688 in words is "nine hundred thousand, six hundred eighty-eight".