1083248640 has 260 divisors, whose sum is σ = 3889119564. Its totient is φ = 288423936.

The previous prime is 1083248627. The next prime is 1083248651. The reversal of 1083248640 is 468423801.

1083248640 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 2 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 318836736 + 764411904 = 17856^2 + 27648^2 .

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 = 1083248595 and 1083248604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658554 + ... + 1659206.

Almost surely, 2^1083248640 is an apocalyptic number.

1083248640 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 1083248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944559782).

1083248640 is an abundant number, since it is smaller than the sum of its proper divisors (2805870924).

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

1083248640 is an frugal number, since it uses more digits than its factorization.

1083248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1083248640 is about 32912.7428209804. The cubic root of 1083248640 is about 1027.0132597910.

It can be divided in two parts, 108324 and 8640, that added together give a square (116964 = 342²).

The spelling of 1083248640 in words is "one billion, eighty-three million, two hundred forty-eight thousand, six hundred forty".