1001032000 has 112 divisors (see below), whose sum is σ = 2497976208. Its totient is φ = 397363200.

The previous prime is 1001031979. The next prime is 1001032007. The reversal of 1001032000 is 2301001.

It can be written as a sum of positive squares in 8 ways, for example, as 434972736 + 566059264 = 20856^2 + 23792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001032007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255602 + ... + 1256398.

It is an arithmetic number, because the mean of its divisors is an integer number (22303359).

Almost surely, 2^1001032000 is an apocalyptic number.

1001032000 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 1001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248988104).

1001032000 is an abundant number, since it is smaller than the sum of its proper divisors (1496944208).

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

1001032000 is an equidigital number, since it uses as much as digits as its factorization.

1001032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1001032000 is about 31639.0897467042. The cubic root of 1001032000 is about 1000.3438817318.

Adding to 1001032000 its reverse (2301001), we get a palindrome (1003333001).

The spelling of 1001032000 in words is "one billion, one million, thirty-two thousand".