1083643416 has 96 divisors (see below), whose sum is σ = 3105788400. Its totient is φ = 340381440.

The previous prime is 1083643411. The next prime is 1083643423. The reversal of 1083643416 is 6143463801.

It is a happy number.

1083643416 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 643 + 4 + 1 + 6 = 666.

It is a super-4 number, since 4×1083643416⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083643411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 267486 + ... + 271506.

Almost surely, 2^1083643416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083643416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552894200).

1083643416 is an abundant number, since it is smaller than the sum of its proper divisors (2022144984).

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

1083643416 is a wasteful number, since it uses less digits than its factorization.

1083643416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1083643416 is about 32918.7395870498. The cubic root of 1083643416 is about 1027.1380052185.

The spelling of 1083643416 in words is "one billion, eighty-three million, six hundred forty-three thousand, four hundred sixteen".