905666832 has 240 divisors, whose sum is σ = 3041805312. Its totient is φ = 255519360.

The previous prime is 905666821. The next prime is 905666843. The reversal of 905666832 is 238666509.

It is a happy number.

905666832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (905666821) and next prime (905666843).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2911957 + ... + 2912267.

Almost surely, 2^905666832 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 905666832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520902656).

905666832 is an abundant number, since it is smaller than the sum of its proper divisors (2136138480).

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

905666832 is a wasteful number, since it uses less digits than its factorization.

905666832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 905666832 is about 30094.2989949924. The cubic root of 905666832 is about 967.5115412360.

The spelling of 905666832 in words is "nine hundred five million, six hundred sixty-six thousand, eight hundred thirty-two".