32164020 has 192 divisors, whose sum is σ = 116981760. Its totient is φ = 7185024.

The previous prime is 32164007. The next prime is 32164021. The reversal of 32164020 is 2046123.

It is a happy number.

32164020 is a `hidden beast` number, since 3 + 2 + 1 + 640 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32163984 and 32164002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32164021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 253197 + ... + 253323.

It is an arithmetic number, because the mean of its divisors is an integer number (609280).

Almost surely, 2^32164020 is an apocalyptic number.

32164020 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 32164020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490880).

32164020 is an abundant number, since it is smaller than the sum of its proper divisors (84817740).

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

32164020 is a wasteful number, since it uses less digits than its factorization.

32164020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 32164020 is about 5671.3331765997. Note that the first 3 decimals coincide. The cubic root of 32164020 is about 318.0217144303.

The spelling of 32164020 in words is "thirty-two million, one hundred sixty-four thousand, twenty".