705600560 has 80 divisors (see below), whose sum is σ = 1878260736. Its totient is φ = 241484544.

The previous prime is 705600559. The next prime is 705600563. The reversal of 705600560 is 65006507.

705600560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (705600563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540869 + ... + 542171.

Almost surely, 2^705600560 is an apocalyptic number.

705600560 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 705600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939130368).

705600560 is an abundant number, since it is smaller than the sum of its proper divisors (1172660176).

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

705600560 is a wasteful number, since it uses less digits than its factorization.

705600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 705600560 is about 26563.1428863378. The cubic root of 705600560 is about 890.2656951965.

The spelling of 705600560 in words is "seven hundred five million, six hundred thousand, five hundred sixty".