66048417 has 24 divisors (see below), whose sum is σ = 103488840. Its totient is φ = 40427520.

The previous prime is 66048407. The next prime is 66048419. The reversal of 66048417 is 71484066.

66048417 is a `hidden beast` number, since 6 + 604 + 8 + 41 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11229201 + 54819216 = 3351^2 + 7404^2 .

It is not a de Polignac number, because 66048417 - 2⁷ = 66048289 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66048419) 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, 1009 + ... + 11537.

It is an arithmetic number, because the mean of its divisors is an integer number (4312035).

Almost surely, 2^66048417 is an apocalyptic number.

It is an amenable number.

66048417 is a deficient number, since it is larger than the sum of its proper divisors (37440423).

66048417 is a wasteful number, since it uses less digits than its factorization.

66048417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 66048417 is about 8127.0177186961. The cubic root of 66048417 is about 404.2227984721. Note that the first 3 decimals are identical.

The spelling of 66048417 in words is "sixty-six million, forty-eight thousand, four hundred seventeen".