66541608 has 96 divisors (see below), whose sum is σ = 215049600. Its totient is φ = 19008864.

The previous prime is 66541603. The next prime is 66541627. The reversal of 66541608 is 80614566.

66541608 is a `hidden beast` number, since 6 + 6 + 5 + 41 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66541603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7441 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (2240100).

Almost surely, 2^66541608 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 66541608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107524800).

66541608 is an abundant number, since it is smaller than the sum of its proper divisors (148507992).

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

66541608 is a wasteful number, since it uses less digits than its factorization.

66541608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66541608 is about 8157.3039663850. The cubic root of 66541608 is about 405.2264303094.

The spelling of 66541608 in words is "sixty-six million, five hundred forty-one thousand, six hundred eight".