20688032 has 48 divisors (see below), whose sum is σ = 42488712. Its totient is φ = 9907200.

The previous prime is 20688013. The next prime is 20688043. The reversal of 20688032 is 23088602.

It can be written as a sum of positive squares in 4 ways, for example, as 18011536 + 2676496 = 4244^2 + 1636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20687986 and 20688004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119498 + ... + 119670.

Almost surely, 2^20688032 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 20688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244356).

20688032 is an abundant number, since it is smaller than the sum of its proper divisors (21800680).

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

20688032 is a wasteful number, since it uses less digits than its factorization.

20688032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 20688032 is about 4548.4098320182. The cubic root of 20688032 is about 274.5194118563.

The spelling of 20688032 in words is "twenty million, six hundred eighty-eight thousand, thirty-two".