66527680 has 56 divisors (see below), whose sum is σ = 159763968. Its totient is φ = 26385408.

The previous prime is 66527641. The next prime is 66527687. The reversal of 66527680 is 8672566.

66527680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66527687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39822 + ... + 41458.

It is an arithmetic number, because the mean of its divisors is an integer number (2852928).

Almost surely, 2^66527680 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 66527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

66527680 is an abundant number, since it is smaller than the sum of its proper divisors (93236288).

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

66527680 is a wasteful number, since it uses less digits than its factorization.

66527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 66527680 is about 8156.4502082708. The cubic root of 66527680 is about 405.1981553312.

The spelling of 66527680 in words is "sixty-six million, five hundred twenty-seven thousand, six hundred eighty".