706443840 has 336 divisors, whose sum is σ = 2636105472. Its totient is φ = 172965888.

The previous prime is 706443821. The next prime is 706443847. The reversal of 706443840 is 48344607.

706443840 is a `hidden beast` number, since 7 + 0 + 644 + 3 + 8 + 4 + 0 = 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 = 706443795 and 706443804.

It is not an unprimeable number, because it can be changed into a prime (706443847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2300967 + ... + 2301273.

It is an arithmetic number, because the mean of its divisors is an integer number (7845552).

Almost surely, 2^706443840 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 706443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318052736).

706443840 is an abundant number, since it is smaller than the sum of its proper divisors (1929661632).

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

706443840 is a wasteful number, since it uses less digits than its factorization.

706443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 706443840 is about 26579.0112682921. The cubic root of 706443840 is about 890.6202132337.

The spelling of 706443840 in words is "seven hundred six million, four hundred forty-three thousand, eight hundred forty".