66079008 has 54 divisors (see below), whose sum is σ = 188305299. Its totient is φ = 21980352.

The previous prime is 66079007. The next prime is 66079031. The reversal of 66079008 is 80097066.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 33039504 + 33039504 = 5748^2 + 5748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5748.

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 (66079007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137713 + ... + 138191.

Almost surely, 2^66079008 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 66079008

66079008 is an abundant number, since it is smaller than the sum of its proper divisors (122226291).

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

66079008 is an equidigital number, since it uses as much as digits as its factorization.

66079008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 66079008 is about 8128.8995565206. The cubic root of 66079008 is about 404.2851954813.

The spelling of 66079008 in words is "sixty-six million, seventy-nine thousand, eight".