1001334000 has 160 divisors (see below), whose sum is σ = 3418549056. Its totient is φ = 251289600.

The previous prime is 1001333999. The next prime is 1001334023. The reversal of 1001334000 is 4331001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 97092 + ... + 106908.

Almost surely, 2^1001334000 is an apocalyptic number.

1001334000 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 1001334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709274528).

1001334000 is an abundant number, since it is smaller than the sum of its proper divisors (2417215056).

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

1001334000 is a wasteful number, since it uses less digits than its factorization.

1001334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001334000 is about 31643.8619640524. The cubic root of 1001334000 is about 1000.4444690846. Note that the first 4 decimals are identical.

Adding to 1001334000 its reverse (4331001), we get a palindrome (1005665001).

Subtracting from 1001334000 its reverse (4331001), we obtain a cube (997002999 = 999³).

The spelling of 1001334000 in words is "one billion, one million, three hundred thirty-four thousand".