1002267006 has 64 divisors (see below), whose sum is σ = 2191123200. Its totient is φ = 305611488.

The previous prime is 1002266987. The next prime is 1002267031. The reversal of 1002267006 is 6007622001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1832025 + ... + 1832571.

It is an arithmetic number, because the mean of its divisors is an integer number (34236300).

Almost surely, 2^1002267006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002267006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095561600).

1002267006 is an abundant number, since it is smaller than the sum of its proper divisors (1188856194).

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

1002267006 is a wasteful number, since it uses less digits than its factorization.

1002267006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1002267006 is about 31658.6008218936. The cubic root of 1002267006 is about 1000.7550983496.

Adding to 1002267006 its reverse (6007622001), we get a palindrome (7009889007).

It can be divided in two parts, 10022 and 67006, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 1002267006 in words is "one billion, two million, two hundred sixty-seven thousand, six".