66010 has 32 divisors (see below), whose sum is σ = 145152. Its totient is φ = 21120.

The previous prime is 65993. The next prime is 66029. The reversal of 66010 is 1066.

66010 = T₃₅ + T₃₆ + ... + T₇₅.

It is an unprimeable number.

66010 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 15 ways as a sum of consecutive naturals, for example, 1590 + ... + 1630.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁶⁶⁰¹⁰ is an apocalyptic number.

66010 is an abundant number, since it is smaller than the sum of its proper divisors (79142).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

66010 is a wasteful number, since it uses less digits than its factorization.

66010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 66010 is about 256.9241133097. The cubic root of 66010 is about 40.4144411335.

Adding to 66010 its reverse (1066), we get a palindrome (67076).

The spelling of 66010 in words is "sixty-six thousand, ten".