66617096 has 48 divisors (see below), whose sum is σ = 154598400. Its totient is φ = 26350272.

The previous prime is 66617093. The next prime is 66617107. The reversal of 66617096 is 69071666.

It is not an unprimeable number, because it can be changed into a prime (66617093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5945 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (3220800).

Almost surely, 2^66617096 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 66617096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77299200).

66617096 is an abundant number, since it is smaller than the sum of its proper divisors (87981304).

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

66617096 is a wasteful number, since it uses less digits than its factorization.

66617096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 66617096 is about 8161.9296737965. The cubic root of 66617096 is about 405.3796085162.

The spelling of 66617096 in words is "sixty-six million, six hundred seventeen thousand, ninety-six".