1117090128 has 320 divisors, whose sum is σ = 3980316672. Its totient is φ = 260874240.

The previous prime is 1117090127. The next prime is 1117090147. The reversal of 1117090128 is 8210907111.

It is a junction number, because it is equal to n+sod(n) for n = 1117090095 and 1117090104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117090127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1444750 + ... + 1445522.

Almost surely, 2^1117090128 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 1117090128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990158336).

1117090128 is an abundant number, since it is smaller than the sum of its proper divisors (2863226544).

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

1117090128 is a wasteful number, since it uses less digits than its factorization.

1117090128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 30.

The square root of 1117090128 is about 33422.8982585293. The cubic root of 1117090128 is about 1037.5986657606.

Adding to 1117090128 its reverse (8210907111), we get a palindrome (9327997239).

The spelling of 1117090128 in words is "one billion, one hundred seventeen million, ninety thousand, one hundred twenty-eight".