1001134080 has 480 divisors, whose sum is σ = 3852969120. Its totient is φ = 247726080.

The previous prime is 1001134031. The next prime is 1001134081. The reversal of 1001134080 is 804311001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1001134080² = 2004538892274892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001134081) 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 39 ways as a sum of consecutive naturals, for example, 14100445 + ... + 14100515.

It is an arithmetic number, because the mean of its divisors is an integer number (8027019).

Almost surely, 2^1001134080 is an apocalyptic number.

1001134080 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 1001134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926484560).

1001134080 is an abundant number, since it is smaller than the sum of its proper divisors (2851835040).

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

1001134080 is an equidigital number, since it uses as much as digits as its factorization.

1001134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1001134080 is about 31640.7028999041. The cubic root of 1001134080 is about 1000.3778838525.

Adding to 1001134080 its reverse (804311001), we get a palindrome (1805445081).

The spelling of 1001134080 in words is "one billion, one million, one hundred thirty-four thousand, eighty".