20632032 has 72 divisors (see below), whose sum is σ = 59557680. Its totient is φ = 6773760.

The previous prime is 20631991. The next prime is 20632037. The reversal of 20632032 is 23023602.

20632032 is a `hidden beast` number, since 2 + 0 + 632 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 20631996 and 20632014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20632037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19944 + ... + 20952.

It is an arithmetic number, because the mean of its divisors is an integer number (827190).

Almost surely, 2^20632032 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 20632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29778840).

20632032 is an abundant number, since it is smaller than the sum of its proper divisors (38925648).

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

20632032 is a wasteful number, since it uses less digits than its factorization.

20632032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20632032 is about 4542.2496628873. The cubic root of 20632032 is about 274.2714910779.

Adding to 20632032 its reverse (23023602), we get a palindrome (43655634).

It can be divided in two parts, 2063 and 2032, that added together give a triangular number (4095 = T₉₀).

The spelling of 20632032 in words is "twenty million, six hundred thirty-two thousand, thirty-two".