66528 has 96 divisors (see below), whose sum is σ = 241920. Its totient is φ = 17280.

The previous prime is 66523. The next prime is 66529. The reversal of 66528 is 82566.

66528 is a `hidden beast` number, since 6 + 652 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66528.

It is not an unprimeable number, because it can be changed into a prime (66523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6043 + ... + 6053.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁶⁶⁵²⁸ 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 66528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

66528 is an abundant number, since it is smaller than the sum of its proper divisors (175392).

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

66528 is a wasteful number, since it uses less digits than its factorization.

66528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66528 is about 257.9302231225. The cubic root of 66528 is about 40.5198805002.

The spelling of 66528 in words is "sixty-six thousand, five hundred twenty-eight".