66410 has 16 divisors (see below), whose sum is σ = 124200. Its totient is φ = 25536.

The previous prime is 66403. The next prime is 66413. The reversal of 66410 is 1466.

It can be written as a sum of positive squares in 4 ways, for example, as 64009 + 2401 = 253^2 + 49^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66413) by changing a digit.

66410 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 176 + ... + 404.

2⁶⁶⁴¹⁰ is an apocalyptic number.

66410 is a deficient number, since it is larger than the sum of its proper divisors (57790).

66410 is a wasteful number, since it uses less digits than its factorization.

66410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 66410 is about 257.7013775671. The cubic root of 66410 is about 40.4959097632.

Subtracting from 66410 its product of nonzero digits (144), we obtain a palindrome (66266).

Adding to 66410 its reverse (1466), we get a palindrome (67876).

The spelling of 66410 in words is "sixty-six thousand, four hundred ten".