66566052 has 72 divisors (see below), whose sum is σ = 198528512. Its totient is φ = 18403200.

The previous prime is 66566011. The next prime is 66566077. The reversal of 66566052 is 25066566.

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 = 66565998 and 66566016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3552 + ... + 12072.

Almost surely, 2^66566052 is an apocalyptic number.

66566052 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66566052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99264256).

66566052 is an abundant number, since it is smaller than the sum of its proper divisors (131962460).

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

66566052 is a wasteful number, since it uses less digits than its factorization.

66566052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66566052 is about 8158.8021179582. The cubic root of 66566052 is about 405.2760440899.

The spelling of 66566052 in words is "sixty-six million, five hundred sixty-six thousand, fifty-two".