66342528 has 192 divisors, whose sum is σ = 230193600. Its totient is φ = 17915904.

The previous prime is 66342503. The next prime is 66342533. The reversal of 66342528 is 82524366.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 66342492 and 66342501.

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, 153000 + ... + 153432.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 2^66342528 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 66342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096800).

66342528 is an abundant number, since it is smaller than the sum of its proper divisors (163851072).

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

66342528 is a wasteful number, since it uses less digits than its factorization.

66342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 66342528 is about 8145.0922646708. The cubic root of 66342528 is about 404.8219061505.

The spelling of 66342528 in words is "sixty-six million, three hundred forty-two thousand, five hundred twenty-eight".