1117079040 has 320 divisors, whose sum is σ = 4454714880. Its totient is φ = 231997440.

The previous prime is 1117079011. The next prime is 1117079053. The reversal of 1117079040 is 409707111.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1117078989 and 1117079007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590416 + ... + 592304.

It is an arithmetic number, because the mean of its divisors is an integer number (13920984).

Almost surely, 2^1117079040 is an apocalyptic number.

1117079040 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 1117079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227357440).

1117079040 is an abundant number, since it is smaller than the sum of its proper divisors (3337635840).

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

1117079040 is a wasteful number, since it uses less digits than its factorization.

1117079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The square root of 1117079040 is about 33422.7323838133. The cubic root of 1117079040 is about 1037.5952327544.

The spelling of 1117079040 in words is "one billion, one hundred seventeen million, seventy-nine thousand, forty".