66410856 has 96 divisors (see below), whose sum is σ = 187354440. Its totient is φ = 21233664.

The previous prime is 66410849. The next prime is 66410863. The reversal of 66410856 is 65801466.

66410856 is a `hidden beast` number, since 6 + 641 + 0 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66410849) and next prime (66410863).

It can be written as a sum of positive squares in 4 ways, for example, as 65124900 + 1285956 = 8070^2 + 1134^2 .

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 66410856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258280 + ... + 258536.

Almost surely, 2^66410856 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 66410856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93677220).

66410856 is an abundant number, since it is smaller than the sum of its proper divisors (120943584).

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

66410856 is a wasteful number, since it uses less digits than its factorization.

66410856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66410856 is about 8149.2856128620. The cubic root of 66410856 is about 404.9608375484.

The spelling of 66410856 in words is "sixty-six million, four hundred ten thousand, eight hundred fifty-six".