66906441 has 48 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 35679744.

The previous prime is 66906421. The next prime is 66906457. The reversal of 66906441 is 14460966.

66906441 is a `hidden beast` number, since 6 + 6 + 9 + 0 + 644 + 1 = 666.

It is not a de Polignac number, because 66906441 - 2¹¹ = 66904393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66906396 and 66906405.

It is not an unprimeable number, because it can be changed into a prime (66906421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191535 + ... + 191883.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^66906441 is an apocalyptic number.

It is an amenable number.

66906441 is a deficient number, since it is larger than the sum of its proper divisors (51029559).

66906441 is a wasteful number, since it uses less digits than its factorization.

66906441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66906441 is about 8179.6357498363. The cubic root of 66906441 is about 405.9656700490.

It can be divided in two parts, 6690 and 6441, that added together give a palindrome (13131).

The spelling of 66906441 in words is "sixty-six million, nine hundred six thousand, four hundred forty-one".