66096 has 60 divisors (see below), whose sum is σ = 203112. Its totient is φ = 20736.

The previous prime is 66089. The next prime is 66103. The reversal of 66096 is 69066.

66096 = 29² + 30² + ... + 60².

It is an interprime number because it is at equal distance from previous prime (66089) and next prime (66103).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

66096 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 11 ways as a sum of consecutive naturals, for example, 3880 + ... + 3896.

2⁶⁶⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

66096 is an abundant number, since it is smaller than the sum of its proper divisors (137016).

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

66096 is a wasteful number, since it uses less digits than its factorization.

66096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66096 is about 257.0914234275. The cubic root of 66096 is about 40.4319846048.

The spelling of 66096 in words is "sixty-six thousand, ninety-six".