1083849984 has 432 divisors, whose sum is σ = 3928404480. Its totient is φ = 291133440.

The previous prime is 1083849983. The next prime is 1083849997. The reversal of 1083849984 is 4899483801.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1083849984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083849983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8273599 + ... + 8273729.

Almost surely, 2^1083849984 is an apocalyptic number.

1083849984 is a gapful number since it is divisible by the number (14) 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 1083849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964202240).

1083849984 is an abundant number, since it is smaller than the sum of its proper divisors (2844554496).

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

1083849984 is an equidigital number, since it uses as much as digits as its factorization.

1083849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1083849984 is about 32921.8769817275. The cubic root of 1083849984 is about 1027.2032666505.

The spelling of 1083849984 in words is "one billion, eighty-three million, eight hundred forty-nine thousand, nine hundred eighty-four".