1001159280 has 240 divisors, whose sum is σ = 3714512256. Its totient is φ = 239623680.

The previous prime is 1001159273. The next prime is 1001159287. The reversal of 1001159280 is 829511001.

It is an interprime number because it is at equal distance from previous prime (1001159273) and next prime (1001159287).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001159287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656599 + ... + 658121.

Almost surely, 2^1001159280 is an apocalyptic number.

1001159280 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 1001159280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

1001159280 is an abundant number, since it is smaller than the sum of its proper divisors (2713352976).

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

1001159280 is a wasteful number, since it uses less digits than its factorization.

1001159280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1001159280 is about 31641.1011186400. The cubic root of 1001159280 is about 1000.3862774372.

The spelling of 1001159280 in words is "one billion, one million, one hundred fifty-nine thousand, two hundred eighty".