20524032 has 132 divisors (see below), whose sum is σ = 63227736. Its totient is φ = 6389760.

The previous prime is 20524013. The next prime is 20524037. The reversal of 20524032 is 23042502.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 20523996 and 20524014.

It is not an unprimeable number, because it can be changed into a prime (20524037) 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, 156607 + ... + 156737.

It is an arithmetic number, because the mean of its divisors is an integer number (478998).

Almost surely, 2^20524032 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 20524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31613868).

20524032 is an abundant number, since it is smaller than the sum of its proper divisors (42703704).

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

20524032 is a wasteful number, since it uses less digits than its factorization.

20524032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20524032 is about 4530.3456821748. The cubic root of 20524032 is about 273.7920883557.

Adding to 20524032 its reverse (23042502), we get a palindrome (43566534).

It can be divided in two parts, 2052 and 4032, that added together give a square (6084 = 78²).

The spelling of 20524032 in words is "twenty million, five hundred twenty-four thousand, thirty-two".