705332268 has 72 divisors (see below), whose sum is σ = 1859025168. Its totient is φ = 225283968.

The previous prime is 705332239. The next prime is 705332273. The reversal of 705332268 is 862233507.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77746 + ... + 86342.

It is an arithmetic number, because the mean of its divisors is an integer number (25819794).

Almost surely, 2^705332268 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 705332268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929512584).

705332268 is an abundant number, since it is smaller than the sum of its proper divisors (1153692900).

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

705332268 is a wasteful number, since it uses less digits than its factorization.

705332268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 705332268 is about 26558.0923260689. The cubic root of 705332268 is about 890.1528450200.

It can be divided in two parts, 705332 and 268, that added together give a square (705600 = 840²).

The spelling of 705332268 in words is "seven hundred five million, three hundred thirty-two thousand, two hundred sixty-eight".