905688 has 64 divisors (see below), whose sum is σ = 2880000. Its totient is φ = 258336.

The previous prime is 905687. The next prime is 905693. The reversal of 905688 is 886509.

905688 is a `hidden beast` number, since 90 + 568 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1213 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (45000).

2⁹⁰⁵⁶⁸⁸ 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 905688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440000).

905688 is an abundant number, since it is smaller than the sum of its proper divisors (1974312).

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

905688 is a wasteful number, since it uses less digits than its factorization.

905688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 905688 is about 951.6764155951. The cubic root of 905688 is about 96.7519079006.

It can be divided in two parts, 90 and 5688, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 905688 in words is "nine hundred five thousand, six hundred eighty-eight".