705090 has 32 divisors (see below), whose sum is σ = 1782720. Its totient is φ = 177984.

The previous prime is 705079. The next prime is 705097. The reversal of 705090 is 90507.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (705097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49 + ... + 1188.

It is an arithmetic number, because the mean of its divisors is an integer number (55710).

2⁷⁰⁵⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891360).

705090 is an abundant number, since it is smaller than the sum of its proper divisors (1077630).

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

705090 is a wasteful number, since it uses less digits than its factorization.

705090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 705090 is about 839.6963736971. The cubic root of 705090 is about 89.0050916584.

Adding to 705090 its reverse (90507), we get a palindrome (795597).

It can be divided in two parts, 7050 and 90, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 705090 in words is "seven hundred five thousand, ninety".