66538560 has 112 divisors (see below), whose sum is σ = 230501952. Its totient is φ = 16128000.

The previous prime is 66538559. The next prime is 66538567. The reversal of 66538560 is 6583566.

66538560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66538567) 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 15 ways as a sum of consecutive naturals, for example, 7410 + ... + 13710.

Almost surely, 2^66538560 is an apocalyptic number.

66538560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115250976).

66538560 is an abundant number, since it is smaller than the sum of its proper divisors (163963392).

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

66538560 is a wasteful number, since it uses less digits than its factorization.

66538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 66538560 is about 8157.1171378128. The cubic root of 66538560 is about 405.2202429576.

The spelling of 66538560 in words is "sixty-six million, five hundred thirty-eight thousand, five hundred sixty".