20812128 has 48 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 6907520.

The previous prime is 20812123. The next prime is 20812139. The reversal of 20812128 is 82121802.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 20812098 and 20812107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20812123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41125 + ... + 41627.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^20812128 is an apocalyptic number.

It is an amenable number.

20812128 is an abundant number, since it is smaller than the sum of its proper divisors (34055328).

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

20812128 is a wasteful number, since it uses less digits than its factorization.

20812128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 20812128 is about 4562.0311265926. The cubic root of 20812128 is about 275.0672144244.

The spelling of 20812128 in words is "twenty million, eight hundred twelve thousand, one hundred twenty-eight".