66106656 has 216 divisors, whose sum is σ = 237025152. Its totient is φ = 17107200.

The previous prime is 66106639. The next prime is 66106697. The reversal of 66106656 is 65660166.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66106656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243801 + ... + 244071.

Almost surely, 2^66106656 is an apocalyptic number.

66106656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118512576).

66106656 is an abundant number, since it is smaller than the sum of its proper divisors (170918496).

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

66106656 is a wasteful number, since it uses less digits than its factorization.

66106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66106656 is about 8130.5999778614. The cubic root of 66106656 is about 404.3415730352.

The spelling of 66106656 in words is "sixty-six million, one hundred six thousand, six hundred fifty-six".