705170268 has 216 divisors, whose sum is σ = 2147024880. Its totient is φ = 192844800.

The previous prime is 705170227. The next prime is 705170269. The reversal of 705170268 is 862071507.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705170269) 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 71 ways as a sum of consecutive naturals, for example, 6469398 + ... + 6469506.

It is an arithmetic number, because the mean of its divisors is an integer number (9939930).

Almost surely, 2^705170268 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 705170268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073512440).

705170268 is an abundant number, since it is smaller than the sum of its proper divisors (1441854612).

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

705170268 is a wasteful number, since it uses less digits than its factorization.

705170268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 705170268 is about 26555.0422330675. The cubic root of 705170268 is about 890.0846900009.

The spelling of 705170268 in words is "seven hundred five million, one hundred seventy thousand, two hundred sixty-eight".