906035200 has 204 divisors, whose sum is σ = 2600448640. Its totient is φ = 306708480.

The previous prime is 906035173. The next prime is 906035203. The reversal of 906035200 is 2530609.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (906035203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11468761 + ... + 11468839.

Almost surely, 2^906035200 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 906035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300224320).

906035200 is an abundant number, since it is smaller than the sum of its proper divisors (1694413440).

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

906035200 is an frugal number, since it uses more digits than its factorization.

906035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 906035200 is about 30100.4186017404. The cubic root of 906035200 is about 967.6426976280.

Adding to 906035200 its reverse (2530609), we get a palindrome (908565809).

The spelling of 906035200 in words is "nine hundred six million, thirty-five thousand, two hundred".