66855096 has 192 divisors, whose sum is σ = 233625600. Its totient is φ = 16761600.

The previous prime is 66855073. The next prime is 66855149. The reversal of 66855096 is 69055866.

66855096 is a `hidden beast` number, since 6 + 6 + 8 + 550 + 96 = 666.

66855096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66855096² = 8939207722338432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171670 + ... + 172058.

It is an arithmetic number, because the mean of its divisors is an integer number (1216800).

Almost surely, 2^66855096 is an apocalyptic number.

66855096 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 66855096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116812800).

66855096 is an abundant number, since it is smaller than the sum of its proper divisors (166770504).

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

66855096 is a wasteful number, since it uses less digits than its factorization.

66855096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 66855096 is about 8176.4965602634. The cubic root of 66855096 is about 405.8617954375.

It can be divided in two parts, 6685 and 5096, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 66855096 in words is "sixty-six million, eight hundred fifty-five thousand, ninety-six".