705666906 has 72 divisors (see below), whose sum is σ = 1856293920. Its totient is φ = 189749376.

The previous prime is 705666833. The next prime is 705666931. The reversal of 705666906 is 609666507.

It is a super-2 number, since 2×705666906² = 995931564447225672, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 26725 + ... + 46103.

It is an arithmetic number, because the mean of its divisors is an integer number (25781860).

Almost surely, 2^705666906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705666906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928146960).

705666906 is an abundant number, since it is smaller than the sum of its proper divisors (1150627014).

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

705666906 is a wasteful number, since it uses less digits than its factorization.

705666906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19428 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 705666906 is about 26564.3916926400. The cubic root of 705666906 is about 890.2935975348.

The spelling of 705666906 in words is "seven hundred five million, six hundred sixty-six thousand, nine hundred six".