66682112 has 72 divisors (see below), whose sum is σ = 153839616. Its totient is φ = 28256256.

The previous prime is 66682087. The next prime is 66682123. The reversal of 66682112 is 21128666.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227438 + ... + 227730.

Almost surely, 2^66682112 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 66682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76919808).

66682112 is an abundant number, since it is smaller than the sum of its proper divisors (87157504).

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

66682112 is a wasteful number, since it uses less digits than its factorization.

66682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 66682112 is about 8165.9115841405. The cubic root of 66682112 is about 405.5114444993.

The spelling of 66682112 in words is "sixty-six million, six hundred eighty-two thousand, one hundred twelve".