906316800 has 132 divisors (see below), whose sum is σ = 2995678056. Its totient is φ = 241664000.

The previous prime is 906316783. The next prime is 906316811. The reversal of 906316800 is 8613609.

It is a super-3 number, since 3×906316800³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70900 + ... + 82700.

Almost surely, 2^906316800 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 906316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497839028).

906316800 is an abundant number, since it is smaller than the sum of its proper divisors (2089361256).

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

906316800 is a wasteful number, since it uses less digits than its factorization.

906316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 906316800 is about 30105.0959141472. The cubic root of 906316800 is about 967.7429365438.

The spelling of 906316800 in words is "nine hundred six million, three hundred sixteen thousand, eight hundred".