1006073000 has 64 divisors (see below), whose sum is σ = 2392949520. Its totient is φ = 395808000.

The previous prime is 1006072993. The next prime is 1006073027. The reversal of 1006073000 is 3706001.

It can be written as a sum of positive squares in 8 ways, for example, as 176517796 + 829555204 = 13286^2 + 28802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1006073000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52754 + ... + 69246.

Almost surely, 2^1006073000 is an apocalyptic number.

1006073000 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 1006073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196474760).

1006073000 is an abundant number, since it is smaller than the sum of its proper divisors (1386876520).

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

1006073000 is a wasteful number, since it uses less digits than its factorization.

1006073000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16575 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 1006073000 is about 31718.6538175882. The cubic root of 1006073000 is about 1002.0202491781.

Adding to 1006073000 its reverse (3706001), we get a palindrome (1009779001).

The spelling of 1006073000 in words is "one billion, six million, seventy-three thousand".