1024128 has 96 divisors (see below), whose sum is σ = 3394560. Its totient is φ = 290304.

The previous prime is 1024103. The next prime is 1024151. The reversal of 1024128 is 8214201.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1024128.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8001 + ... + 8127.

It is an arithmetic number, because the mean of its divisors is an integer number (35360).

2^1024128 is an apocalyptic number.

1024128 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 1024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697280).

1024128 is an abundant number, since it is smaller than the sum of its proper divisors (2370432).

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

1024128 is a wasteful number, since it uses less digits than its factorization.

1024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1024128 is about 1011.9920948308. The cubic root of 1024128 is about 100.7978835534.

1024128 divided by its product of nonzero digits (128) gives a triangular number (8001 = T₁₂₆).

Adding to 1024128 its reverse (8214201), we get a palindrome (9238329).

It can be divided in two parts, 1024 and 128, that multiplied together give a 17-th power (131072 = 2¹⁷).

The spelling of 1024128 in words is "one million, twenty-four thousand, one hundred twenty-eight".