20065032 has 144 divisors (see below), whose sum is σ = 62948340. Its totient is φ = 5750784.

The previous prime is 20064997. The next prime is 20065033. The reversal of 20065032 is 23056002.

It can be written as a sum of positive squares in 6 ways, for example, as 4901796 + 15163236 = 2214^2 + 3894^2 .

It is a super-2 number, since 2×20065032² = 805211018322048, which contains 22 as substring.

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 = 20064996 and 20065014.

It is not an unprimeable number, because it can be changed into a prime (20065033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206808 + ... + 206904.

Almost surely, 2^20065032 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 20065032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31474170).

20065032 is an abundant number, since it is smaller than the sum of its proper divisors (42883308).

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

20065032 is a wasteful number, since it uses less digits than its factorization.

20065032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20065032 is about 4479.4008527927. The cubic root of 20065032 is about 271.7356500309.

The spelling of 20065032 in words is "twenty million, sixty-five thousand, thirty-two".