1083677440 has 72 divisors (see below), whose sum is σ = 2606860368. Its totient is φ = 431616000.

The previous prime is 1083677429. The next prime is 1083677479. The reversal of 1083677440 is 447763801.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1083677393 and 1083677402.

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 7 ways as a sum of consecutive naturals, for example, 319594 + ... + 322966.

It is an arithmetic number, because the mean of its divisors is an integer number (36206394).

Almost surely, 2^1083677440 is an apocalyptic number.

1083677440 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 1083677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303430184).

1083677440 is an abundant number, since it is smaller than the sum of its proper divisors (1523182928).

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

1083677440 is an equidigital number, since it uses as much as digits as its factorization.

1083677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 1083677440 is about 32919.2563707019. The cubic root of 1083677440 is about 1027.1487550578.

The spelling of 1083677440 in words is "one billion, eighty-three million, six hundred seventy-seven thousand, four hundred forty".