66887856 has 200 divisors, whose sum is σ = 226500384. Its totient is φ = 18662400.

The previous prime is 66887839. The next prime is 66887857. The reversal of 66887856 is 65878866.

66887856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66887857) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 662206 + ... + 662306.

Almost surely, 2^66887856 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 66887856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113250192).

66887856 is an abundant number, since it is smaller than the sum of its proper divisors (159612528).

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

66887856 is a wasteful number, since it uses less digits than its factorization.

66887856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 66887856 is about 8178.4996179006. The cubic root of 66887856 is about 405.9280774018.

The spelling of 66887856 in words is "sixty-six million, eight hundred eighty-seven thousand, eight hundred fifty-six".