1001726000 has 80 divisors (see below), whose sum is σ = 2642429088. Its totient is φ = 364256000.

The previous prime is 1001725987. The next prime is 1001726017. The reversal of 1001726000 is 6271001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1001726000.

It is an unprimeable number.

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, 767 + ... + 44766.

Almost surely, 2^1001726000 is an apocalyptic number.

1001726000 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 1001726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321214544).

1001726000 is an abundant number, since it is smaller than the sum of its proper divisors (1640703088).

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

1001726000 is a wasteful number, since it uses less digits than its factorization.

1001726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45567 (or 45551 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1001726000 is about 31650.0552922108. The cubic root of 1001726000 is about 1000.5750026419.

Adding to 1001726000 its reverse (6271001), we get a palindrome (1007997001).

The spelling of 1001726000 in words is "one billion, one million, seven hundred twenty-six thousand".