905296 has 40 divisors (see below), whose sum is σ = 2053440. Its totient is φ = 378624.

The previous prime is 905291. The next prime is 905297. The reversal of 905296 is 692509.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905291) by changing a digit.

905296 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, 6540 + ... + 6676.

It is an arithmetic number, because the mean of its divisors is an integer number (51336).

2⁹⁰⁵²⁹⁶ 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 905296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026720).

905296 is an abundant number, since it is smaller than the sum of its proper divisors (1148144).

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

905296 is a wasteful number, since it uses less digits than its factorization.

905296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 905296 is about 951.4704409492. The cubic root of 905296 is about 96.7379471617.

The spelling of 905296 in words is "nine hundred five thousand, two hundred ninety-six".