705040 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 241536.

The previous prime is 705031. The next prime is 705043. The reversal of 705040 is 40507.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (705043) by changing a digit.

705040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 1189.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁷⁰⁵⁰⁴⁰ is an apocalyptic number.

705040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

705040 is an abundant number, since it is smaller than the sum of its proper divisors (1169840).

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

705040 is a wasteful number, since it uses less digits than its factorization.

705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 705040 is about 839.6666005028. Note that the first 4 decimals coincide. The cubic root of 705040 is about 89.0029877379.

Adding to 705040 its reverse (40507), we get a palindrome (745547).

The spelling of 705040 in words is "seven hundred five thousand, forty".