66886000 has 80 divisors (see below), whose sum is σ = 165043008. Its totient is φ = 26208000.

The previous prime is 66885991. The next prime is 66886013. The reversal of 66886000 is 68866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105685 + ... + 106315.

Almost surely, 2^66886000 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 66886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82521504).

66886000 is an abundant number, since it is smaller than the sum of its proper divisors (98157008).

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

66886000 is a wasteful number, since it uses less digits than its factorization.

66886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 66886000 is about 8178.3861488682. The cubic root of 66886000 is about 405.9243228116.

It can be divided in two parts, 668 and 86000, that added together give a palindrome (86668).

The spelling of 66886000 in words is "sixty-six million, eight hundred eighty-six thousand".