66446532 has 72 divisors (see below), whose sum is σ = 173287296. Its totient is φ = 21457344.

The previous prime is 66446531. The next prime is 66446533. The reversal of 66446532 is 23564466.

66446532 is a `hidden beast` number, since 6 + 644 + 6 + 5 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66446531) and next prime (66446533).

It is a super-2 number, since 2×66446532² = 8830283229654048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66446531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292603 + ... + 292829.

It is an arithmetic number, because the mean of its divisors is an integer number (2406768).

Almost surely, 2^66446532 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 66446532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643648).

66446532 is an abundant number, since it is smaller than the sum of its proper divisors (106840764).

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

66446532 is a wasteful number, since it uses less digits than its factorization.

66446532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66446532 is about 8151.4742224950. The cubic root of 66446532 is about 405.0333397337.

The spelling of 66446532 in words is "sixty-six million, four hundred forty-six thousand, five hundred thirty-two".