1005246216 has 96 divisors (see below), whose sum is σ = 2960717760. Its totient is φ = 306274176.

The previous prime is 1005246197. The next prime is 1005246223. The reversal of 1005246216 is 6126425001.

1005246216 is a `hidden beast` number, since 10 + 0 + 5 + 24 + 621 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1005246216.

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 23 ways as a sum of consecutive naturals, for example, 91195 + ... + 101621.

It is an arithmetic number, because the mean of its divisors is an integer number (30840810).

Almost surely, 2^1005246216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005246216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480358880).

1005246216 is an abundant number, since it is smaller than the sum of its proper divisors (1955471544).

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

1005246216 is a wasteful number, since it uses less digits than its factorization.

1005246216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1005246216 is about 31705.6180510647. The cubic root of 1005246216 is about 1001.7456894617.

The spelling of 1005246216 in words is "one billion, five million, two hundred forty-six thousand, two hundred sixteen".