906087168 has 288 divisors, whose sum is σ = 3122577920. Its totient is φ = 253808640.

The previous prime is 906087157. The next prime is 906087173. The reversal of 906087168 is 861780609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2951271 + ... + 2951577.

Almost surely, 2^906087168 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 906087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561288960).

906087168 is an abundant number, since it is smaller than the sum of its proper divisors (2216490752).

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

906087168 is a wasteful number, since it uses less digits than its factorization.

906087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 906087168 is about 30101.2818331712. The cubic root of 906087168 is about 967.6611978269.

The spelling of 906087168 in words is "nine hundred six million, eighty-seven thousand, one hundred sixty-eight".