66542560 has 192 divisors, whose sum is σ = 195955200. Its totient is φ = 20846592.

The previous prime is 66542527. The next prime is 66542561. The reversal of 66542560 is 6524566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66542561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127811 + ... + 1127869.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^66542560 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 66542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

66542560 is an abundant number, since it is smaller than the sum of its proper divisors (129412640).

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

66542560 is a wasteful number, since it uses less digits than its factorization.

66542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 66542560 is about 8157.3623187891. The cubic root of 66542560 is about 405.2283628032.

It can be divided in two parts, 665 and 42560, that multiplied together give a square (28302400 = 5320²).

The spelling of 66542560 in words is "sixty-six million, five hundred forty-two thousand, five hundred sixty".