906888 has 32 divisors (see below), whose sum is σ = 2347200. Its totient is φ = 291648.

The previous prime is 906881. The next prime is 906901. The reversal of 906888 is 888609.

906888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 906888.

It is not an unprimeable number, because it can be changed into a prime (906881) by changing a digit.

906888 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 1347.

It is an arithmetic number, because the mean of its divisors is an integer number (73350).

2⁹⁰⁶⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173600).

906888 is an abundant number, since it is smaller than the sum of its proper divisors (1440312).

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

906888 is a wasteful number, since it uses less digits than its factorization.

906888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 906888 is about 952.3066732939. The cubic root of 906888 is about 96.7946198317.

The spelling of 906888 in words is "nine hundred six thousand, eight hundred eighty-eight".