66516528 has 160 divisors (see below), whose sum is σ = 197376256. Its totient is φ = 19160064.

The previous prime is 66516523. The next prime is 66516533. The reversal of 66516528 is 82561566.

It is an interprime number because it is at equal distance from previous prime (66516523) and next prime (66516533).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66516521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992751 + ... + 992817.

Almost surely, 2^66516528 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 66516528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98688128).

66516528 is an abundant number, since it is smaller than the sum of its proper divisors (130859728).

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

66516528 is a wasteful number, since it uses less digits than its factorization.

66516528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 66516528 is about 8155.7665488904. The cubic root of 66516528 is about 405.1755130148.

The spelling of 66516528 in words is "sixty-six million, five hundred sixteen thousand, five hundred twenty-eight".