1008084 has 48 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 261600.

The previous prime is 1008043. The next prime is 1008101. The reversal of 1008084 is 4808001.

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 1008084.

It is a congruent number.

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, 379 + ... + 1469.

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

2^1008084 is an apocalyptic number.

1008084 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 1008084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

1008084 is an abundant number, since it is smaller than the sum of its proper divisors (1927212).

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

1008084 is a wasteful number, since it uses less digits than its factorization.

1008084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1008084 is about 1004.0338639707. The cubic root of 1008084 is about 100.2687437874.

The spelling of 1008084 in words is "one million, eight thousand, eighty-four".