1008071668 has 24 divisors (see below), whose sum is σ = 1830890880. Its totient is φ = 485073120.

The previous prime is 1008071663. The next prime is 1008071677. The reversal of 1008071668 is 8661708001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008071663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22105 + ... + 50047.

It is an arithmetic number, because the mean of its divisors is an integer number (76287120).

Almost surely, 2^1008071668 is an apocalyptic number.

It is an amenable number.

1008071668 is a deficient number, since it is larger than the sum of its proper divisors (822819212).

1008071668 is a wasteful number, since it uses less digits than its factorization.

1008071668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28287 (or 28285 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1008071668 is about 31750.1443776245. The cubic root of 1008071668 is about 1002.6833491967.

Adding to 1008071668 its reverse (8661708001), we get a palindrome (9669779669).

The spelling of 1008071668 in words is "one billion, eight million, seventy-one thousand, six hundred sixty-eight".