66576132 has 108 divisors (see below), whose sum is σ = 198289728. Its totient is φ = 18446400.

The previous prime is 66576121. The next prime is 66576137. The reversal of 66576132 is 23167566.

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

Its product of digits (45360) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (66576137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 937657 + ... + 937727.

It is an arithmetic number, because the mean of its divisors is an integer number (1836016).

Almost surely, 2^66576132 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 66576132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144864).

66576132 is an abundant number, since it is smaller than the sum of its proper divisors (131713596).

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

66576132 is a wasteful number, since it uses less digits than its factorization.

66576132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 144 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 66576132 is about 8159.4198323165. The cubic root of 66576132 is about 405.2964998439.

The spelling of 66576132 in words is "sixty-six million, five hundred seventy-six thousand, one hundred thirty-two".