1117590240 has 288 divisors, whose sum is σ = 3984422400. Its totient is φ = 262699008.

The previous prime is 1117590191. The next prime is 1117590247. The reversal of 1117590240 is 420957111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1117590198 and 1117590207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117590247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865461 + ... + 1866059.

It is an arithmetic number, because the mean of its divisors is an integer number (13834800).

Almost surely, 2^1117590240 is an apocalyptic number.

1117590240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992211200).

1117590240 is an abundant number, since it is smaller than the sum of its proper divisors (2866832160).

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

1117590240 is a wasteful number, since it uses less digits than its factorization.

1117590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1117590240 is about 33430.3789987490. The cubic root of 1117590240 is about 1037.7534841028.

The spelling of 1117590240 in words is "one billion, one hundred seventeen million, five hundred ninety thousand, two hundred forty".