900180060 has 96 divisors (see below), whose sum is σ = 2777617920. Its totient is φ = 216421632.

The previous prime is 900180059. The next prime is 900180101. The reversal of 900180060 is 60081009.

It is a self number, because there is not a number n which added to its sum of digits gives 900180060.

It is a congruent number.

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, 20121 + ... + 46959.

It is an arithmetic number, because the mean of its divisors is an integer number (28933520).

Almost surely, 2^900180060 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 900180060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388808960).

900180060 is an abundant number, since it is smaller than the sum of its proper divisors (1877437860).

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

900180060 is a wasteful number, since it uses less digits than its factorization.

900180060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26907 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 900180060 is about 30003.0008499150. Note that the first 3 decimals coincide. The cubic root of 900180060 is about 965.5537677265.

The spelling of 900180060 in words is "nine hundred million, one hundred eighty thousand, sixty".