20075688 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6386688.

The previous prime is 20075687. The next prime is 20075701. The reversal of 20075688 is 88657002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20075683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44488 + ... + 44936.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^20075688 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 20075688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

20075688 is an abundant number, since it is smaller than the sum of its proper divisors (38892312).

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

20075688 is a wasteful number, since it uses less digits than its factorization.

20075688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20075688 is about 4480.5901397026. The cubic root of 20075688 is about 271.7837453548.

The spelling of 20075688 in words is "twenty million, seventy-five thousand, six hundred eighty-eight".