909117090 has 144 divisors (see below), whose sum is σ = 2869483968. Its totient is φ = 198741312.

The previous prime is 909117071. The next prime is 909117091. The reversal of 909117090 is 90711909.

It is not an unprimeable number, because it can be changed into a prime (909117091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96949 + ... + 105911.

It is an arithmetic number, because the mean of its divisors is an integer number (19926972).

Almost surely, 2^909117090 is an apocalyptic number.

909117090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 909117090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434741984).

909117090 is an abundant number, since it is smaller than the sum of its proper divisors (1960366878).

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

909117090 is a wasteful number, since it uses less digits than its factorization.

909117090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 909117090 is about 30151.5686159112. The cubic root of 909117090 is about 968.7386055406.

Adding to 909117090 its reverse (90711909), we get a palindrome (999828999).

The spelling of 909117090 in words is "nine hundred nine million, one hundred seventeen thousand, ninety".