706090920 has 128 divisors (see below), whose sum is σ = 2361052800. Its totient is φ = 167878656.

The previous prime is 706090919. The next prime is 706090969. The reversal of 706090920 is 29090607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29652 + ... + 47868.

It is an arithmetic number, because the mean of its divisors is an integer number (18445725).

Almost surely, 2^706090920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180526400).

706090920 is an abundant number, since it is smaller than the sum of its proper divisors (1654961880).

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

706090920 is a wasteful number, since it uses less digits than its factorization.

706090920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18267 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 706090920 is about 26572.3713657626. The cubic root of 706090920 is about 890.4718787053.

The spelling of 706090920 in words is "seven hundred six million, ninety thousand, nine hundred twenty".