1600128 has 64 divisors (see below), whose sum is σ = 4732800. Its totient is φ = 532224.

The previous prime is 1600121. The next prime is 1600141. The reversal of 1600128 is 8210061.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1600128.

It is not an unprimeable number, because it can be changed into a prime (1600121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3225 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (73950).

2^1600128 is an apocalyptic number.

1600128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366400).

1600128 is an abundant number, since it is smaller than the sum of its proper divisors (3132672).

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

1600128 is an equidigital number, since it uses as much as digits as its factorization.

1600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1600128 is about 1264.9616594980. The cubic root of 1600128 is about 116.9638283976.

Adding to 1600128 its reverse (8210061), we get a palindrome (9810189).

It can be divided in two parts, 1600 and 128, that added together give a cube (1728 = 12³).

The spelling of 1600128 in words is "one million, six hundred thousand, one hundred twenty-eight".