1108509840 has 320 divisors, whose sum is σ = 4069025280. Its totient is φ = 276756480.

The previous prime is 1108509839. The next prime is 1108509851. The reversal of 1108509840 is 489058011.

1108509840 is a `hidden beast` number, since 1 + 108 + 509 + 8 + 40 = 666.

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 = 1108509795 and 1108509804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2632830 + ... + 2633250.

It is an arithmetic number, because the mean of its divisors is an integer number (12715704).

Almost surely, 2^1108509840 is an apocalyptic number.

1108509840 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 1108509840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034512640).

1108509840 is an abundant number, since it is smaller than the sum of its proper divisors (2960515440).

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

1108509840 is a wasteful number, since it uses less digits than its factorization.

1108509840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1108509840 is about 33294.2914025813. The cubic root of 1108509840 is about 1034.9352616512.

The spelling of 1108509840 in words is "one billion, one hundred eight million, five hundred nine thousand, eight hundred forty".