1005605068 has 48 divisors (see below), whose sum is σ = 1925554176. Its totient is φ = 456747840.

The previous prime is 1005605053. The next prime is 1005605087. The reversal of 1005605068 is 8605065001.

1005605068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005605068² = 2022483105574569248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022505 + ... + 1023487.

It is an arithmetic number, because the mean of its divisors is an integer number (40115712).

Almost surely, 2^1005605068 is an apocalyptic number.

It is an amenable number.

1005605068 is a deficient number, since it is larger than the sum of its proper divisors (919949108).

1005605068 is a wasteful number, since it uses less digits than its factorization.

1005605068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1005605068 is about 31711.2766693490. The cubic root of 1005605068 is about 1001.8648760754.

The spelling of 1005605068 in words is "one billion, five million, six hundred five thousand, sixty-eight".