1084128 has 48 divisors (see below), whose sum is σ = 2975616. Its totient is φ = 344960.

The previous prime is 1084103. The next prime is 1084133. The reversal of 1084128 is 8214801.

1084128 is a nontrivial binomial coefficient, being equal to C(1473, 2).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1084098 and 1084107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (61992).

2^1084128 is an apocalyptic number.

1084128 is the 1472-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487808).

1084128 is an abundant number, since it is smaller than the sum of its proper divisors (1891488).

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

1084128 is a wasteful number, since it uses less digits than its factorization.

1084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1084128 is about 1041.2146752711. The cubic root of 1084128 is about 102.7291087700.

Adding to 1084128 its reverse (8214801), we get a palindrome (9298929).

The spelling of 1084128 in words is "one million, eighty-four thousand, one hundred twenty-eight".