20446128 has 160 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 6200064.

The previous prime is 20446123. The next prime is 20446133. The reversal of 20446128 is 82164402.

20446128 is a `hidden beast` number, since 2 + 0 + 44 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20446123) and next prime (20446133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20446123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385750 + ... + 385802.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^20446128 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 20446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

20446128 is an abundant number, since it is smaller than the sum of its proper divisors (43835472).

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

20446128 is a wasteful number, since it uses less digits than its factorization.

20446128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20446128 is about 4521.7394882943. The cubic root of 20446128 is about 273.4452341083.

The spelling of 20446128 in words is "twenty million, four hundred forty-six thousand, one hundred twenty-eight".