705616000 has 64 divisors (see below), whose sum is σ = 1754377560. Its totient is φ = 282240000.

The previous prime is 705615973. The next prime is 705616001. The reversal of 705616000 is 616507.

It can be written as a sum of positive squares in 4 ways, for example, as 473845824 + 231770176 = 21768^2 + 15224^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (705616001) 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 7 ways as a sum of consecutive naturals, for example, 6051 + ... + 38050.

Almost surely, 2^705616000 is an apocalyptic number.

It is an amenable number.

705616000 is an abundant number, since it is smaller than the sum of its proper divisors (1048761560).

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

705616000 is an equidigital number, since it uses as much as digits as its factorization.

705616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44130 (or 44108 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 705616000 is about 26563.4335130081. The cubic root of 705616000 is about 890.2721887675.

The spelling of 705616000 in words is "seven hundred five million, six hundred sixteen thousand".