32942112 has 144 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 9149952.

The previous prime is 32942111. The next prime is 32942123. The reversal of 32942112 is 21124923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (32942111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221014 + ... + 221162.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^32942112 is an apocalyptic number.

32942112 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 32942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

32942112 is an abundant number, since it is smaller than the sum of its proper divisors (70478688).

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

32942112 is a wasteful number, since it uses less digits than its factorization.

32942112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 32942112 is about 5739.5219313110. The cubic root of 32942112 is about 320.5657699450.

The spelling of 32942112 in words is "thirty-two million, nine hundred forty-two thousand, one hundred twelve".