706461588 has 240 divisors, whose sum is σ = 2274459264. Its totient is φ = 186624000.

The previous prime is 706461563. The next prime is 706461599. The reversal of 706461588 is 885164607.

It is a happy number.

706461588 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 61 + 588 = 666.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 2814463 + ... + 2814713.

Almost surely, 2^706461588 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 706461588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137229632).

706461588 is an abundant number, since it is smaller than the sum of its proper divisors (1567997676).

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

706461588 is a wasteful number, since it uses less digits than its factorization.

706461588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 706461588 is about 26579.3451386598. The cubic root of 706461588 is about 890.6276715266.

The spelling of 706461588 in words is "seven hundred six million, four hundred sixty-one thousand, five hundred eighty-eight".