905916 has 24 divisors (see below), whose sum is σ = 2306304. Its totient is φ = 274480.

The previous prime is 905909. The next prime is 905917. The reversal of 905916 is 619509.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905917) by changing a digit.

905916 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, 3300 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

2⁹⁰⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

905916 is an abundant number, since it is smaller than the sum of its proper divisors (1400388).

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

905916 is a wasteful number, since it uses less digits than its factorization.

905916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 905916 is about 951.7961966724. The cubic root of 905916 is about 96.7600260694.

It can be divided in two parts, 90 and 5916, that added together give a palindrome (6006).

The spelling of 905916 in words is "nine hundred five thousand, nine hundred sixteen".