66468096 has 108 divisors (see below), whose sum is σ = 203036652. Its totient is φ = 20840448.

The previous prime is 66468047. The next prime is 66468107. The reversal of 66468096 is 69086466.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 7485696 = 7680^2 + 2736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38320 + ... + 40016.

It is an arithmetic number, because the mean of its divisors is an integer number (1879969).

Almost surely, 2^66468096 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 66468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101518326).

66468096 is an abundant number, since it is smaller than the sum of its proper divisors (136568556).

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

66468096 is a wasteful number, since it uses less digits than its factorization.

66468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66468096 is about 8152.7968207235. The cubic root of 66468096 is about 405.0771503686.

The spelling of 66468096 in words is "sixty-six million, four hundred sixty-eight thousand, ninety-six".