900555084 has 432 divisors, whose sum is σ = 3036400640. Its totient is φ = 230947200.

The previous prime is 900555079. The next prime is 900555101. The reversal of 900555084 is 480555009.

It is a happy number.

900555084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29050149 + ... + 29050179.

Almost surely, 2^900555084 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 900555084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518200320).

900555084 is an abundant number, since it is smaller than the sum of its proper divisors (2135845556).

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

900555084 is a wasteful number, since it uses less digits than its factorization.

900555084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 900555084 is about 30009.2499739664. The cubic root of 900555084 is about 965.6878355566.

The spelling of 900555084 in words is "nine hundred million, five hundred fifty-five thousand, eighty-four".