706436640 has 480 divisors, whose sum is σ = 3073593600. Its totient is φ = 148801536.

The previous prime is 706436639. The next prime is 706436641. The reversal of 706436640 is 46634607.

706436640 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 3 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (706436639) and next prime (706436641).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 706436595 and 706436604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706436641) 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 79 ways as a sum of consecutive naturals, for example, 1179061 + ... + 1179659.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^706436640 is an apocalyptic number.

706436640 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 706436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

706436640 is an abundant number, since it is smaller than the sum of its proper divisors (2367156960).

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

706436640 is a wasteful number, since it uses less digits than its factorization.

706436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 706436640 is about 26578.8758227281. The cubic root of 706436640 is about 890.6171875215.

The spelling of 706436640 in words is "seven hundred six million, four hundred thirty-six thousand, six hundred forty".