1115583840 has 288 divisors, whose sum is σ = 4513017600. Its totient is φ = 254928384.

The previous prime is 1115583773. The next prime is 1115583853. The reversal of 1115583840 is 483855111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1115583795 and 1115583804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270111 + ... + 274209.

It is an arithmetic number, because the mean of its divisors is an integer number (15670200).

Almost surely, 2^1115583840 is an apocalyptic number.

1115583840 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 1115583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256508800).

1115583840 is an abundant number, since it is smaller than the sum of its proper divisors (3397433760).

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

1115583840 is an equidigital number, since it uses as much as digits as its factorization.

1115583840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1115583840 is about 33400.3568843209. The cubic root of 1115583840 is about 1037.1320888361.

The spelling of 1115583840 in words is "one billion, one hundred fifteen million, five hundred eighty-three thousand, eight hundred forty".