1071084 has 48 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 297600.

The previous prime is 1071067. The next prime is 1071121. The reversal of 1071084 is 4801701.

1071084 = T₁₅₂ + T₁₅₃ + ... + T₂₁₄.

It is a super-2 number, since 2×1071084² = 2294441870112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1071084.

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 15 ways as a sum of consecutive naturals, for example, 3289 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

2^1071084 is an apocalyptic number.

1071084 is a gapful number since it is divisible by the number (14) 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 1071084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

1071084 is an abundant number, since it is smaller than the sum of its proper divisors (1864212).

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

1071084 is a wasteful number, since it uses less digits than its factorization.

1071084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1071084 is about 1034.9318818164. The cubic root of 1071084 is about 102.3154402420.

Adding to 1071084 its reverse (4801701), we get a palindrome (5872785).

The spelling of 1071084 in words is "one million, seventy-one thousand, eighty-four".