32166120 has 128 divisors (see below), whose sum is σ = 111456000. Its totient is φ = 7274496.

The previous prime is 32166103. The next prime is 32166157. The reversal of 32166120 is 2166123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125032 + ... + 125288.

It is an arithmetic number, because the mean of its divisors is an integer number (870750).

Almost surely, 2^32166120 is an apocalyptic number.

32166120 is a gapful number since it is divisible by the number (30) 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 32166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55728000).

32166120 is an abundant number, since it is smaller than the sum of its proper divisors (79289880).

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

32166120 is a wasteful number, since it uses less digits than its factorization.

32166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 32166120 is about 5671.5183152309. The cubic root of 32166120 is about 318.0286355290.

The spelling of 32166120 in words is "thirty-two million, one hundred sixty-six thousand, one hundred twenty".