1006306668 has 36 divisors (see below), whose sum is σ = 2546827920. Its totient is φ = 335025696.

The previous prime is 1006306607. The next prime is 1006306669. The reversal of 1006306668 is 8666036001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1006306668² = 2025306220122524448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1006306669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13546 + ... + 46862.

It is an arithmetic number, because the mean of its divisors is an integer number (70745220).

Almost surely, 2^1006306668 is an apocalyptic number.

1006306668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1006306668 is an abundant number, since it is smaller than the sum of its proper divisors (1540521252).

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

1006306668 is a wasteful number, since it uses less digits than its factorization.

1006306668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34166 (or 34161 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1006306668 is about 31722.3370513586. The cubic root of 1006306668 is about 1002.0978187458.

The spelling of 1006306668 in words is "one billion, six million, three hundred six thousand, six hundred sixty-eight".