66178112 has 112 divisors (see below), whose sum is σ = 176491392. Its totient is φ = 23777280.

The previous prime is 66178069. The next prime is 66178139. The reversal of 66178112 is 21187166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 63548 + ... + 64580.

It is an arithmetic number, because the mean of its divisors is an integer number (1575816).

Almost surely, 2^66178112 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 66178112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88245696).

66178112 is an abundant number, since it is smaller than the sum of its proper divisors (110313280).

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

66178112 is a wasteful number, since it uses less digits than its factorization.

66178112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1066 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 66178112 is about 8134.9930546989. The cubic root of 66178112 is about 404.4872075256.

The spelling of 66178112 in words is "sixty-six million, one hundred seventy-eight thousand, one hundred twelve".