20416128 has 64 divisors (see below), whose sum is σ = 54998400. Its totient is φ = 6709248.

The previous prime is 20416117. The next prime is 20416141. The reversal of 20416128 is 82161402.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 20416098 and 20416107.

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, 30000 + ... + 30672.

It is an arithmetic number, because the mean of its divisors is an integer number (859350).

Almost surely, 2^20416128 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 20416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27499200).

20416128 is an abundant number, since it is smaller than the sum of its proper divisors (34582272).

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

20416128 is an equidigital number, since it uses as much as digits as its factorization.

20416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20416128 is about 4518.4209631242. The cubic root of 20416128 is about 273.3114292712.

The spelling of 20416128 in words is "twenty million, four hundred sixteen thousand, one hundred twenty-eight".