706580640 has 144 divisors (see below), whose sum is σ = 2445520896. Its totient is φ = 185740800.

The previous prime is 706580627. The next prime is 706580663. The reversal of 706580640 is 46085607.

It is a happy number.

706580640 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 706580595 and 706580604.

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 23 ways as a sum of consecutive naturals, for example, 98785 + ... + 105695.

It is an arithmetic number, because the mean of its divisors is an integer number (16982784).

Almost surely, 2^706580640 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 706580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222760448).

706580640 is an abundant number, since it is smaller than the sum of its proper divisors (1738940256).

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

706580640 is a wasteful number, since it uses less digits than its factorization.

706580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 706580640 is about 26581.5846028787. The cubic root of 706580640 is about 890.6776978606.

The spelling of 706580640 in words is "seven hundred six million, five hundred eighty thousand, six hundred forty".