706381128 has 192 divisors, whose sum is σ = 2101982400. Its totient is φ = 219628800.

The previous prime is 706381121. The next prime is 706381157. The reversal of 706381128 is 821183607.

706381128 is a `hidden beast` number, since 7 + 0 + 638 + 1 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 706381092 and 706381101.

It is not an unprimeable number, because it can be changed into a prime (706381121) by changing a digit.

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, 8510575 + ... + 8510657.

It is an arithmetic number, because the mean of its divisors is an integer number (10947825).

Almost surely, 2^706381128 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 706381128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050991200).

706381128 is an abundant number, since it is smaller than the sum of its proper divisors (1395601272).

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

706381128 is a wasteful number, since it uses less digits than its factorization.

706381128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 706381128 is about 26577.8315142526. The cubic root of 706381128 is about 890.5938585898.

The spelling of 706381128 in words is "seven hundred six million, three hundred eighty-one thousand, one hundred twenty-eight".