20164032 has 112 divisors (see below), whose sum is σ = 67787520. Its totient is φ = 5757696.

The previous prime is 20164013. The next prime is 20164049. The reversal of 20164032 is 23046102.

It is a happy number.

20164032 is a `hidden beast` number, since 20 + 1 + 640 + 3 + 2 = 666.

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

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 = 20163996 and 20164014.

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, 11263 + ... + 12929.

Almost surely, 2^20164032 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 20164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33893760).

20164032 is an abundant number, since it is smaller than the sum of its proper divisors (47623488).

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

20164032 is a wasteful number, since it uses less digits than its factorization.

20164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1679 counting only the distinct ones).

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

The square root of 20164032 is about 4490.4378405674. The cubic root of 20164032 is about 272.1818276743.

The spelling of 20164032 in words is "twenty million, one hundred sixty-four thousand, thirty-two".