706616064 has 324 divisors, whose sum is σ = 2589972840. Its totient is φ = 183214080.

The previous prime is 706616041. The next prime is 706616081. The reversal of 706616064 is 460616607.

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

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 35 ways as a sum of consecutive naturals, for example, 1241572 + ... + 1242140.

Almost surely, 2^706616064 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 706616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294986420).

706616064 is an abundant number, since it is smaller than the sum of its proper divisors (1883356776).

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

706616064 is a wasteful number, since it uses less digits than its factorization.

706616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 706616064 is about 26582.2509204920. The cubic root of 706616064 is about 890.6925821440.

The spelling of 706616064 in words is "seven hundred six million, six hundred sixteen thousand, sixty-four".