705055536 has 80 divisors (see below), whose sum is σ = 2027013120. Its totient is φ = 234642240.

The previous prime is 705055529. The next prime is 705055541. The reversal of 705055536 is 635550507.

705055536 is a `hidden beast` number, since 70 + 5 + 0 + 55 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 705055536.

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 15 ways as a sum of consecutive naturals, for example, 444601 + ... + 446183.

It is an arithmetic number, because the mean of its divisors is an integer number (25337664).

Almost surely, 2^705055536 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 705055536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013506560).

705055536 is an abundant number, since it is smaller than the sum of its proper divisors (1321957584).

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

705055536 is a wasteful number, since it uses less digits than its factorization.

705055536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 705055536 is about 26552.8818774912. The cubic root of 705055536 is about 890.0364147875.

The spelling of 705055536 in words is "seven hundred five million, fifty-five thousand, five hundred thirty-six".