905696 has 48 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 393600.

The previous prime is 905693. The next prime is 905701. The reversal of 905696 is 696509.

905696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

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 905696.

It is not an unprimeable number, because it can be changed into a prime (905693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10871 + ... + 10953.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2⁹⁰⁵⁶⁹⁶ 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 905696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

905696 is an abundant number, since it is smaller than the sum of its proper divisors (1126432).

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

905696 is a wasteful number, since it uses less digits than its factorization.

905696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 905696 is about 951.6806186952. The cubic root of 905696 is about 96.7521927717.

The spelling of 905696 in words is "nine hundred five thousand, six hundred ninety-six".