905640200 has 144 divisors (see below), whose sum is σ = 2253427200. Its totient is φ = 338083200.

The previous prime is 905640181. The next prime is 905640223. The reversal of 905640200 is 2046509.

It is a self number, because there is not a number n which added to its sum of digits gives 905640200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11463761 + ... + 11463839.

It is an arithmetic number, because the mean of its divisors is an integer number (15648800).

Almost surely, 2^905640200 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 905640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126713600).

905640200 is an abundant number, since it is smaller than the sum of its proper divisors (1347787000).

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

905640200 is a wasteful number, since it uses less digits than its factorization.

905640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 905640200 is about 30093.8565159070. The cubic root of 905640200 is about 967.5020576088.

Adding to 905640200 its reverse (2046509), we get a palindrome (907686709).

The spelling of 905640200 in words is "nine hundred five million, six hundred forty thousand, two hundred".