20542128 has 60 divisors (see below), whose sum is σ = 55543320. Its totient is φ = 6541568.

The previous prime is 20542099. The next prime is 20542153. The reversal of 20542128 is 82124502.

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 = 20542098 and 20542107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24988 + ... + 25796.

It is an arithmetic number, because the mean of its divisors is an integer number (925722).

Almost surely, 2^20542128 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 20542128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27771660).

20542128 is an abundant number, since it is smaller than the sum of its proper divisors (35001192).

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

20542128 is a wasteful number, since it uses less digits than its factorization.

20542128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 20542128 is about 4532.3424407253. The cubic root of 20542128 is about 273.8725320393.

The spelling of 20542128 in words is "twenty million, five hundred forty-two thousand, one hundred twenty-eight".