1005048 has 96 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 298080.

The previous prime is 1005041. The next prime is 1005049. The reversal of 1005048 is 8405001.

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 self number, because there is not a number n which added to its sum of digits gives 1005048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005041) 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 23 ways as a sum of consecutive naturals, for example, 21361 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2^1005048 is an apocalyptic number.

1005048 is a gapful number since it is divisible by the number (18) 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 1005048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1005048 is an abundant number, since it is smaller than the sum of its proper divisors (2139912).

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

1005048 is a wasteful number, since it uses less digits than its factorization.

1005048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1005048 is about 1002.5208227264. The cubic root of 1005048 is about 100.1679843213.

The spelling of 1005048 in words is "one million, five thousand, forty-eight".