1084094080 has 128 divisors (see below), whose sum is σ = 2819324880. Its totient is φ = 396951552.

The previous prime is 1084094071. The next prime is 1084094083. The reversal of 1084094080 is 804904801.

It can be written as a sum of positive squares in 8 ways, for example, as 810654784 + 273439296 = 28472^2 + 16536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1084094083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401214 + ... + 403906.

Almost surely, 2^1084094080 is an apocalyptic number.

1084094080 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 1084094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409662440).

1084094080 is an abundant number, since it is smaller than the sum of its proper divisors (1735230800).

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

1084094080 is a wasteful number, since it uses less digits than its factorization.

1084094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1084094080 is about 32925.5839735607. The cubic root of 1084094080 is about 1027.2803736892.

Adding to 1084094080 its reverse (804904801), we get a palindrome (1888998881).

The spelling of 1084094080 in words is "one billion, eighty-four million, ninety-four thousand, eighty".