905040 has 80 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 240768.

The previous prime is 905011. The next prime is 905053. The reversal of 905040 is 40509.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 1951 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁹⁰⁵⁰⁴⁰ is an apocalyptic number.

905040 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 905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

905040 is an abundant number, since it is smaller than the sum of its proper divisors (2219760).

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

905040 is a wasteful number, since it uses less digits than its factorization.

905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 905040 is about 951.3359028230. The cubic root of 905040 is about 96.7288277690.

Adding to 905040 its reverse (40509), we get a palindrome (945549).

The spelling of 905040 in words is "nine hundred five thousand, forty".