706231680 has 512 divisors, whose sum is σ = 2982251520. Its totient is φ = 137625600.

The previous prime is 706231619. The next prime is 706231717. The reversal of 706231680 is 86132607.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2513140 + ... + 2513420.

It is an arithmetic number, because the mean of its divisors is an integer number (5824710).

Almost surely, 2^706231680 is an apocalyptic number.

706231680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491125760).

706231680 is an abundant number, since it is smaller than the sum of its proper divisors (2276019840).

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

706231680 is a wasteful number, since it uses less digits than its factorization.

706231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 706231680 is about 26575.0198494752. The cubic root of 706231680 is about 890.5310469559.

The spelling of 706231680 in words is "seven hundred six million, two hundred thirty-one thousand, six hundred eighty".