905085216 has 144 divisors (see below), whose sum is σ = 3096475200. Its totient is φ = 244975104.

The previous prime is 905085211. The next prime is 905085217. The reversal of 905085216 is 612580509.

It is a happy number.

905085216 is a `hidden beast` number, since 90 + 508 + 52 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (905085211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26490 + ... + 50118.

It is an arithmetic number, because the mean of its divisors is an integer number (21503300).

Almost surely, 2^905085216 is an apocalyptic number.

905085216 is a gapful number since it is divisible by the number (96) 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 905085216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548237600).

905085216 is an abundant number, since it is smaller than the sum of its proper divisors (2191389984).

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

905085216 is a wasteful number, since it uses less digits than its factorization.

905085216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23671 (or 23660 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 905085216 is about 30084.6342174872. The cubic root of 905085216 is about 967.3043860679.

The spelling of 905085216 in words is "nine hundred five million, eighty-five thousand, two hundred sixteen".