705440160 has 144 divisors (see below), whose sum is σ = 2549009736. Its totient is φ = 177045504.

The previous prime is 705440159. The next prime is 705440161. The reversal of 705440160 is 61044507.

It is an interprime number because it is at equal distance from previous prime (705440159) and next prime (705440161).

It can be written as a sum of positive squares in 4 ways, for example, as 705221136 + 219024 = 26556^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (705440161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10072 + ... + 38888.

Almost surely, 2^705440160 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 705440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274504868).

705440160 is an abundant number, since it is smaller than the sum of its proper divisors (1843569576).

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

705440160 is a wasteful number, since it uses less digits than its factorization.

705440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28855 (or 28844 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 705440160 is about 26560.1234936888. The cubic root of 705440160 is about 890.1982304733.

Adding to 705440160 its reverse (61044507), we get a palindrome (766484667).

It can be divided in two parts, 705440 and 160, that added together give a square (705600 = 840²).

The spelling of 705440160 in words is "seven hundred five million, four hundred forty thousand, one hundred sixty".