66441096 has 48 divisors (see below), whose sum is σ = 182424060. Its totient is φ = 21841920.

The previous prime is 66441071. The next prime is 66441097. The reversal of 66441096 is 69014466.

66441096 is a `hidden beast` number, since 6 + 644 + 1 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58522500 + 7918596 = 7650^2 + 2814^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66441096.

It is not an unprimeable number, because it can be changed into a prime (66441097) 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, 1065 + ... + 11576.

Almost surely, 2^66441096 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 66441096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91212030).

66441096 is an abundant number, since it is smaller than the sum of its proper divisors (115982964).

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

66441096 is a wasteful number, since it uses less digits than its factorization.

66441096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66441096 is about 8151.1407790566. The cubic root of 66441096 is about 405.0222941545.

The spelling of 66441096 in words is "sixty-six million, four hundred forty-one thousand, ninety-six".