900116658 has 64 divisors (see below), whose sum is σ = 2290360320. Its totient is φ = 256687056.

The previous prime is 900116653. The next prime is 900116677. The reversal of 900116658 is 856611009.

900116658 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (900116653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227485 + ... + 231407.

It is an arithmetic number, because the mean of its divisors is an integer number (35786880).

Almost surely, 2^900116658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900116658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145180160).

900116658 is an abundant number, since it is smaller than the sum of its proper divisors (1390243662).

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

900116658 is a wasteful number, since it uses less digits than its factorization.

900116658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 900116658 is about 30001.9442369990. The cubic root of 900116658 is about 965.5310983814.

It can be divided in two parts, 90011 and 6658, that added together give a palindrome (96669).

The spelling of 900116658 in words is "nine hundred million, one hundred sixteen thousand, six hundred fifty-eight".