32666112 has 160 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 10174464.

The previous prime is 32666107. The next prime is 32666119. The reversal of 32666112 is 21166623.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (32666119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234939 + ... + 235077.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^32666112 is an apocalyptic number.

32666112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

32666112 is an abundant number, since it is smaller than the sum of its proper divisors (70452288).

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

32666112 is a wasteful number, since it uses less digits than its factorization.

32666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 32666112 is about 5715.4275430627. The cubic root of 32666112 is about 319.6679889796.

The spelling of 32666112 in words is "thirty-two million, six hundred sixty-six thousand, one hundred twelve".