705711168 has 84 divisors (see below), whose sum is σ = 2026450608. Its totient is φ = 234812160.

The previous prime is 705711163. The next prime is 705711169. The reversal of 705711168 is 861117507.

It is a happy number.

705711168 is a `hidden beast` number, since 70 + 571 + 1 + 16 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (705711163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627855 + ... + 628977.

It is an arithmetic number, because the mean of its divisors is an integer number (24124412).

Almost surely, 2^705711168 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 705711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013225304).

705711168 is an abundant number, since it is smaller than the sum of its proper divisors (1320739440).

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

705711168 is a wasteful number, since it uses less digits than its factorization.

705711168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 705711168 is about 26565.2247873042. The cubic root of 705711168 is about 890.3122112986.

It can be divided in two parts, 7057 and 11168, that added together give a square (18225 = 135²).

The spelling of 705711168 in words is "seven hundred five million, seven hundred eleven thousand, one hundred sixty-eight".