66896 has 20 divisors (see below), whose sum is σ = 134292. Its totient is φ = 32256.

The previous prime is 66889. The next prime is 66919. The reversal of 66896 is 69866.

66896 = T₄₈ + T₄₉ + ... + T₇₉.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 40000 = 164^2 + 200^2 .

It is a plaindrome in base 9 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 536 + ... + 648.

2⁶⁶⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

66896 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (67146).

66896 is a wasteful number, since it uses less digits than its factorization.

66896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 66896 is about 258.6426105652. The cubic root of 66896 is about 40.5944551464.

The spelling of 66896 in words is "sixty-six thousand, eight hundred ninety-six".