905136 has 40 divisors (see below), whose sum is σ = 2373360. Its totient is φ = 297216.

The previous prime is 905123. The next prime is 905137. The reversal of 905136 is 631509.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 905136.

It is not an unprimeable number, because it can be changed into a prime (905137) by changing a digit.

905136 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, 5146 + ... + 5318.

It is an arithmetic number, because the mean of its divisors is an integer number (59334).

2⁹⁰⁵¹³⁶ 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 905136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186680).

905136 is an abundant number, since it is smaller than the sum of its proper divisors (1468224).

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

905136 is a wasteful number, since it uses less digits than its factorization.

905136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 905136 is about 951.3863568498. The cubic root of 905136 is about 96.7322477428.

The spelling of 905136 in words is "nine hundred five thousand, one hundred thirty-six".