66476052 has 108 divisors (see below), whose sum is σ = 185994900. Its totient is φ = 20715264.

The previous prime is 66476023. The next prime is 66476071. The reversal of 66476052 is 25067466.

66476052 is a `hidden beast` number, since 6 + 6 + 47 + 605 + 2 = 666.

66476052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28579716 + 37896336 = 5346^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 66475998 and 66476016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446074 + ... + 446222.

It is an arithmetic number, because the mean of its divisors is an integer number (1722175).

Almost surely, 2^66476052 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 66476052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92997450).

66476052 is an abundant number, since it is smaller than the sum of its proper divisors (119518848).

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

66476052 is a wasteful number, since it uses less digits than its factorization.

66476052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66476052 is about 8153.2847368407. The cubic root of 66476052 is about 405.0933118327.

The spelling of 66476052 in words is "sixty-six million, four hundred seventy-six thousand, fifty-two".