906610368 has 126 divisors (see below), whose sum is σ = 2505938092. Its totient is φ = 289269760.

The previous prime is 906610363. The next prime is 906610417. The reversal of 906610368 is 863016609.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (906610363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17105830 + ... + 17105882.

Almost surely, 2^906610368 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 906610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252969046).

906610368 is an abundant number, since it is smaller than the sum of its proper divisors (1599327724).

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

906610368 is an equidigital number, since it uses as much as digits as its factorization.

906610368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 906610368 is about 30109.9712387774. The cubic root of 906610368 is about 967.8474135101.

The spelling of 906610368 in words is "nine hundred six million, six hundred ten thousand, three hundred sixty-eight".