66526120 has 64 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 25242624.

The previous prime is 66526091. The next prime is 66526129. The reversal of 66526120 is 2162566.

It is not an unprimeable number, because it can be changed into a prime (66526129) 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, 153424 + ... + 153856.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^66526120 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 66526120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

66526120 is an abundant number, since it is smaller than the sum of its proper divisors (90963800).

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

66526120 is a wasteful number, since it uses less digits than its factorization.

66526120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 66526120 is about 8156.3545778736. The cubic root of 66526120 is about 405.1949881579.

Adding to 66526120 its reverse (2162566), we get a palindrome (68688686).

It can be divided in two parts, 665261 and 20, that added together give a triangular number (665281 = T₁₁₅₃).

The spelling of 66526120 in words is "sixty-six million, five hundred twenty-six thousand, one hundred twenty".