1009880320 has 72 divisors (see below), whose sum is σ = 2524225536. Its totient is φ = 386377728.

The previous prime is 1009880317. The next prime is 1009880323. The reversal of 1009880320 is 230889001.

It is an interprime number because it is at equal distance from previous prime (1009880317) and next prime (1009880323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009880323) 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 7 ways as a sum of consecutive naturals, for example, 12289 + ... + 46591.

It is an arithmetic number, because the mean of its divisors is an integer number (35058688).

Almost surely, 2^1009880320 is an apocalyptic number.

1009880320 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 1009880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262112768).

1009880320 is an abundant number, since it is smaller than the sum of its proper divisors (1514345216).

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

1009880320 is an equidigital number, since it uses as much as digits as its factorization.

1009880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34347 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1009880320 is about 31778.6141925667. The cubic root of 1009880320 is about 1003.2826524021.

The spelling of 1009880320 in words is "one billion, nine million, eight hundred eighty thousand, three hundred twenty".