66192096 has 48 divisors (see below), whose sum is σ = 174536208. Its totient is φ = 21964800.

The previous prime is 66192053. The next prime is 66192097. The reversal of 66192096 is 69029166.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66192097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21706 + ... + 24566.

It is an arithmetic number, because the mean of its divisors is an integer number (3636171).

Almost surely, 2^66192096 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 66192096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87268104).

66192096 is an abundant number, since it is smaller than the sum of its proper divisors (108344112).

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

66192096 is a wasteful number, since it uses less digits than its factorization.

66192096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 66192096 is about 8135.8525060377. The cubic root of 66192096 is about 404.5156960524.

The spelling of 66192096 in words is "sixty-six million, one hundred ninety-two thousand, ninety-six".