1084320 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 288000.

The previous prime is 1084313. The next prime is 1084333. The reversal of 1084320 is 234801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1084293 and 1084302.

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 15 ways as a sum of consecutive naturals, for example, 4195 + ... + 4445.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2^1084320 is an apocalyptic number.

1084320 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 1084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1084320 is an abundant number, since it is smaller than the sum of its proper divisors (2725920).

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

1084320 is a wasteful number, since it uses less digits than its factorization.

1084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1084320 is about 1041.3068711960. The cubic root of 1084320 is about 102.7351728832.

Subtracting from 1084320 its product of nonzero digits (192), we obtain a triangular number (1084128 = T₁₄₇₂).

The spelling of 1084320 in words is "one million, eighty-four thousand, three hundred twenty".