1005120 has 84 divisors (see below), whose sum is σ = 3467100. Its totient is φ = 267264.

The previous prime is 1005107. The next prime is 1005131. The reversal of 1005120 is 215001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 451584 = 744^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2706 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (41275).

2^1005120 is an apocalyptic number.

1005120 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 1005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733550).

1005120 is an abundant number, since it is smaller than the sum of its proper divisors (2461980).

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

1005120 is a wasteful number, since it uses less digits than its factorization.

1005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1005120 is about 1002.5567315619. The cubic root of 1005120 is about 100.1703762212.

It can be divided in two parts, 100 and 5120, that multiplied together give a cube (512000 = 80³).

The spelling of 1005120 in words is "one million, five thousand, one hundred twenty".