1006648319 has 32 divisors (see below), whose sum is σ = 1134544320. Its totient is φ = 888717312.

The previous prime is 1006648289. The next prime is 1006648339. The reversal of 1006648319 is 9138466001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006648319 is a prime.

It is a super-2 number, since 2×1006648319² = 2026681676291051522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006648339) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2986919 + ... + 2987255.

It is an arithmetic number, because the mean of its divisors is an integer number (35454510).

Almost surely, 2^1006648319 is an apocalyptic number.

1006648319 is a deficient number, since it is larger than the sum of its proper divisors (127896001).

1006648319 is a wasteful number, since it uses less digits than its factorization.

1006648319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1006648319 is about 31727.7216169078. The cubic root of 1006648319 is about 1002.2112132653.

It can be divided in two parts, 10066 and 48319, that added together give a palindrome (58385).

The spelling of 1006648319 in words is "one billion, six million, six hundred forty-eight thousand, three hundred nineteen".