1103984640 has 480 divisors, whose sum is σ = 4352428080. Its totient is φ = 267632640.

The previous prime is 1103984603. The next prime is 1103984663. The reversal of 1103984640 is 464893011.

1103984640 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 9 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1103984595 and 1103984604.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1320 × 792 × 1056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100362235 + ... + 100362245.

Almost surely, 2^1103984640 is an apocalyptic number.

1103984640 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 1103984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176214040).

1103984640 is an abundant number, since it is smaller than the sum of its proper divisors (3248443440).

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

1103984640 is an frugal number, since it uses more digits than its factorization.

1103984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1103984640 is about 33226.2643100304. The cubic root of 1103984640 is about 1033.5250572686.

The spelling of 1103984640 in words is "one billion, one hundred three million, nine hundred eighty-four thousand, six hundred forty".