1005337068 has 48 divisors (see below), whose sum is σ = 2425780224. Its totient is φ = 323723520.

The previous prime is 1005337057. The next prime is 1005337103. The reversal of 1005337068 is 8607335001.

It is a happy number.

It is a super-3 number, since 3×1005337068³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238596 + ... + 242772.

It is an arithmetic number, because the mean of its divisors is an integer number (50537088).

Almost surely, 2^1005337068 is an apocalyptic number.

It is an amenable number.

1005337068 is an abundant number, since it is smaller than the sum of its proper divisors (1420443156).

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

1005337068 is a wasteful number, since it uses less digits than its factorization.

1005337068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1005337068 is about 31707.0507616208. The cubic root of 1005337068 is about 1001.7758670959.

The spelling of 1005337068 in words is "one billion, five million, three hundred thirty-seven thousand, sixty-eight".