705255936 has 320 divisors, whose sum is σ = 2404131840. Its totient is φ = 178421760.

The previous prime is 705255917. The next prime is 705255937. The reversal of 705255936 is 639552507.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (705255937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7924180 + ... + 7924268.

It is an arithmetic number, because the mean of its divisors is an integer number (7512912).

Almost surely, 2^705255936 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 705255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202065920).

705255936 is an abundant number, since it is smaller than the sum of its proper divisors (1698875904).

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

705255936 is a wasteful number, since it uses less digits than its factorization.

705255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 705255936 is about 26556.6552110766. The cubic root of 705255936 is about 890.1207326850.

The spelling of 705255936 in words is "seven hundred five million, two hundred fifty-five thousand, nine hundred thirty-six".