905769216 has 405 divisors, whose sum is σ = 3133162263. Its totient is φ = 260029440.

The previous prime is 905769169. The next prime is 905769217. The reversal of 905769216 is 612967509.

It is a happy number.

The square root of 905769216 is 30096.

It is a perfect power (a square), and thus also a powerful number.

905769216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (905769217) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47672055 + ... + 47672073.

Almost surely, 2^905769216 is an apocalyptic number.

905769216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

905769216 is the 30096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905769216

905769216 is an abundant number, since it is smaller than the sum of its proper divisors (2227393047).

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

905769216 is a wasteful number, since it uses less digits than its factorization.

905769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 905769216 is about 967.5479983398.

The spelling of 905769216 in words is "nine hundred five million, seven hundred sixty-nine thousand, two hundred sixteen".