20188032 has 64 divisors (see below), whose sum is σ = 56467200. Its totient is φ = 6372864.

The previous prime is 20188019. The next prime is 20188033. The reversal of 20188032 is 23088102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20187993 and 20188011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20188033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5913 + ... + 8679.

It is an arithmetic number, because the mean of its divisors is an integer number (882300).

Almost surely, 2^20188032 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 20188032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28233600).

20188032 is an abundant number, since it is smaller than the sum of its proper divisors (36279168).

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

20188032 is a wasteful number, since it uses less digits than its factorization.

20188032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20188032 is about 4493.1093910565. The cubic root of 20188032 is about 272.2897719235.

The spelling of 20188032 in words is "twenty million, one hundred eighty-eight thousand, thirty-two".