905940 has 72 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 206784.

The previous prime is 905923. The next prime is 905951. The reversal of 905940 is 49509.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 901 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2⁹⁰⁵⁹⁴⁰ is an apocalyptic number.

905940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

905940 is an abundant number, since it is smaller than the sum of its proper divisors (2239020).

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

905940 is a wasteful number, since it uses less digits than its factorization.

905940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 905940 is about 951.8088043299. The cubic root of 905940 is about 96.7608805342.

The spelling of 905940 in words is "nine hundred five thousand, nine hundred forty".