1006876500 has 384 divisors, whose sum is σ = 3634176000. Its totient is φ = 215913600.

The previous prime is 1006876499. The next prime is 1006876501. The reversal of 1006876500 is 56786001.

1006876500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1006876499) and next prime (1006876501).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006876501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9775449 + ... + 9775551.

It is an arithmetic number, because the mean of its divisors is an integer number (9464000).

Almost surely, 2^1006876500 is an apocalyptic number.

1006876500 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 1006876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817088000).

1006876500 is an abundant number, since it is smaller than the sum of its proper divisors (2627299500).

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

1006876500 is a wasteful number, since it uses less digits than its factorization.

1006876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1006876500 is about 31731.3173379234. The cubic root of 1006876500 is about 1002.2869326189.

It can be divided in two parts, 10068 and 76500, that added together give a palindrome (86568).

The spelling of 1006876500 in words is "one billion, six million, eight hundred seventy-six thousand, five hundred".