1005286872 has 64 divisors (see below), whose sum is σ = 2597585760. Its totient is φ = 323993600.

The previous prime is 1005286813. The next prime is 1005286873. The reversal of 1005286872 is 2786825001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005286872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005286873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106672 + ... + 115712.

Almost surely, 2^1005286872 is an apocalyptic number.

1005286872 is a gapful number since it is divisible by the number (12) 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 1005286872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298792880).

1005286872 is an abundant number, since it is smaller than the sum of its proper divisors (1592298888).

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

1005286872 is a wasteful number, since it uses less digits than its factorization.

1005286872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9204 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1005286872 is about 31706.2591927840. The cubic root of 1005286872 is about 1001.7591940881.

The spelling of 1005286872 in words is "one billion, five million, two hundred eighty-six thousand, eight hundred seventy-two".