1008007216 has 20 divisors (see below), whose sum is σ = 1957476400. Its totient is φ = 502852032.

The previous prime is 1008007207. The next prime is 1008007267. The reversal of 1008007216 is 6127008001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64731 + ... + 78778.

It is an arithmetic number, because the mean of its divisors is an integer number (97873820).

Almost surely, 2^1008007216 is an apocalyptic number.

1008007216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1008007216 is a deficient number, since it is larger than the sum of its proper divisors (949469184).

1008007216 is a wasteful number, since it uses less digits than its factorization.

1008007216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143956 (or 143950 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1008007216 is about 31749.1293738899. The cubic root of 1008007216 is about 1002.6619795770.

The spelling of 1008007216 in words is "one billion, eight million, seven thousand, two hundred sixteen".