900206216 has 96 divisors (see below), whose sum is σ = 2119052160. Its totient is φ = 350977536.

The previous prime is 900206213. The next prime is 900206227. The reversal of 900206216 is 612602009.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900206213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690221 + ... + 691523.

It is an arithmetic number, because the mean of its divisors is an integer number (22073460).

Almost surely, 2^900206216 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 900206216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059526080).

900206216 is an abundant number, since it is smaller than the sum of its proper divisors (1218845944).

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

900206216 is a wasteful number, since it uses less digits than its factorization.

900206216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 900206216 is about 30003.4367364807. The cubic root of 900206216 is about 965.5631194776.

The spelling of 900206216 in words is "nine hundred million, two hundred six thousand, two hundred sixteen".