1009120 has 96 divisors (see below), whose sum is σ = 2939328. Its totient is φ = 319488.

The previous prime is 1009097. The next prime is 1009121. The reversal of 1009120 is 219001.

It is a self number, because there is not a number n which added to its sum of digits gives 1009120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009121) by changing a digit.

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, 19014 + ... + 19066.

It is an arithmetic number, because the mean of its divisors is an integer number (30618).

2^1009120 is an apocalyptic number.

1009120 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 1009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664).

1009120 is an abundant number, since it is smaller than the sum of its proper divisors (1930208).

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

1009120 is a wasteful number, since it uses less digits than its factorization.

1009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1009120 is about 1004.5496503409. The cubic root of 1009120 is about 100.3030804941.

The spelling of 1009120 in words is "one million, nine thousand, one hundred twenty".