1009280 has 64 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 377856.

The previous prime is 1009259. The next prime is 1009289. The reversal of 1009280 is 829001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1009280² = 2037292236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12119 + ... + 12201.

2^1009280 is an apocalyptic number.

1009280 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 1009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

1009280 is an abundant number, since it is smaller than the sum of its proper divisors (1561120).

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

1009280 is an equidigital number, since it uses as much as digits as its factorization.

1009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1009280 is about 1004.6292848608. The cubic root of 1009280 is about 100.3083813651.

The spelling of 1009280 in words is "one million, nine thousand, two hundred eighty".