1083861792 has 144 divisors (see below), whose sum is σ = 3514787640. Its totient is φ = 313860096.

The previous prime is 1083861767. The next prime is 1083861803. The reversal of 1083861792 is 2971683801.

It can be written as a sum of positive squares in 4 ways, for example, as 1001342736 + 82519056 = 31644^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 55134 + ... + 72162.

Almost surely, 2^1083861792 is an apocalyptic number.

1083861792 is a gapful number since it is divisible by the number (12) 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 1083861792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757393820).

1083861792 is an abundant number, since it is smaller than the sum of its proper divisors (2430925848).

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

1083861792 is a wasteful number, since it uses less digits than its factorization.

1083861792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17075 (or 17064 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1083861792 is about 32922.0563148780. The cubic root of 1083861792 is about 1027.2069969244.

The spelling of 1083861792 in words is "one billion, eighty-three million, eight hundred sixty-one thousand, seven hundred ninety-two".