905763040 has 144 divisors (see below), whose sum is σ = 2681011872. Its totient is φ = 286626816.

The previous prime is 905763037. The next prime is 905763083. The reversal of 905763040 is 40367509.

It is a junction number, because it is equal to n+sod(n) for n = 905762987 and 905763005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97477 + ... + 106363.

It is an arithmetic number, because the mean of its divisors is an integer number (18618138).

Almost surely, 2^905763040 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 905763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340505936).

905763040 is an abundant number, since it is smaller than the sum of its proper divisors (1775248832).

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

905763040 is a wasteful number, since it uses less digits than its factorization.

905763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 905763040 is about 30095.8973948278. The cubic root of 905763040 is about 967.5457992550.

The spelling of 905763040 in words is "nine hundred five million, seven hundred sixty-three thousand, forty".