706968000 has 280 divisors, whose sum is σ = 2617799184. Its totient is φ = 188352000.

The previous prime is 706967993. The next prime is 706968013. The reversal of 706968000 is 869607.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 647455 + ... + 648545.

Almost surely, 2^706968000 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 706968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308899592).

706968000 is an abundant number, since it is smaller than the sum of its proper divisors (1910831184).

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

706968000 is a wasteful number, since it uses less digits than its factorization.

706968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 706968000 is about 26588.8698518760. The cubic root of 706968000 is about 890.8404298807.

The spelling of 706968000 in words is "seven hundred six million, nine hundred sixty-eight thousand".