66686976 has 156 divisors (see below), whose sum is σ = 202743632. Its totient is φ = 21897216.

The previous prime is 66686957. The next prime is 66686993. The reversal of 66686976 is 67968666.

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

Its product of digits (3919104) is a multiple of the sum of its prime divisors (72).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995295 + ... + 995361.

Almost surely, 2^66686976 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 66686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101371816).

66686976 is an abundant number, since it is smaller than the sum of its proper divisors (136056656).

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

66686976 is an frugal number, since it uses more digits than its factorization.

66686976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 66686976 is about 8166.2094021645. The cubic root of 66686976 is about 405.5213040136.

The spelling of 66686976 in words is "sixty-six million, six hundred eighty-six thousand, nine hundred seventy-six".