706818960 has 240 divisors, whose sum is σ = 2492590464. Its totient is φ = 186126336.

The previous prime is 706818919. The next prime is 706818991. The reversal of 706818960 is 69818607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002144 + ... + 2002496.

Almost surely, 2^706818960 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 706818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246295232).

706818960 is an abundant number, since it is smaller than the sum of its proper divisors (1785771504).

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

706818960 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 706818960 = (178866900)₁₂.

706818960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 706818960 is about 26586.0670276745. The cubic root of 706818960 is about 890.7778244121. Note that the first 3 decimals are identical.

The spelling of 706818960 in words is "seven hundred six million, eight hundred eighteen thousand, nine hundred sixty".