66046240 has 96 divisors (see below), whose sum is σ = 170127216. Its totient is φ = 24084480.

The previous prime is 66046231. The next prime is 66046243. The reversal of 66046240 is 4264066.

It can be written as a sum of positive squares in 8 ways, for example, as 5143824 + 60902416 = 2268^2 + 7804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66046199 and 66046208.

It is not an unprimeable number, because it can be changed into a prime (66046243) 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, 234900 + ... + 235180.

Almost surely, 2^66046240 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 66046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85063608).

66046240 is an abundant number, since it is smaller than the sum of its proper divisors (104080976).

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

66046240 is a wasteful number, since it uses less digits than its factorization.

66046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 66046240 is about 8126.8837816226. The cubic root of 66046240 is about 404.2183572721.

The spelling of 66046240 in words is "sixty-six million, forty-six thousand, two hundred forty".