705584540 has 48 divisors (see below), whose sum is σ = 1510760160. Its totient is φ = 276729600.

The previous prime is 705584531. The next prime is 705584557. The reversal of 705584540 is 45485507.

705584540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 705584494 and 705584503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826754 + ... + 827606.

It is an arithmetic number, because the mean of its divisors is an integer number (31474170).

Almost surely, 2^705584540 is an apocalyptic number.

It is an amenable number.

705584540 is an abundant number, since it is smaller than the sum of its proper divisors (805175620).

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

705584540 is a wasteful number, since it uses less digits than its factorization.

705584540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 705584540 is about 26562.8413389833. The cubic root of 705584540 is about 890.2589575958.

The spelling of 705584540 in words is "seven hundred five million, five hundred eighty-four thousand, five hundred forty".