66888 has 24 divisors (see below), whose sum is σ = 181350. Its totient is φ = 22272.

The previous prime is 66883. The next prime is 66889. The reversal of 66888 is 88866.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 324 = 258^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66883) by changing a digit.

66888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393 + ... + 536.

2⁶⁶⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

66888 is an abundant number, since it is smaller than the sum of its proper divisors (114462).

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

66888 is a wasteful number, since it uses less digits than its factorization.

66888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 934 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 66888 is about 258.6271447470. The cubic root of 66888 is about 40.5928368703.

It can be divided in two parts, 6 and 6888, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 66888 in words is "sixty-six thousand, eight hundred eighty-eight".