1648128 has 80 divisors (see below), whose sum is σ = 4664880. Its totient is φ = 516096.

The previous prime is 1648081. The next prime is 1648181. The reversal of 1648128 is 8218461.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1648095 and 1648104.

It is a congruent number.

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, 44526 + ... + 44562.

It is an arithmetic number, because the mean of its divisors is an integer number (58311).

2^1648128 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 1648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332440).

1648128 is an abundant number, since it is smaller than the sum of its proper divisors (3016752).

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

1648128 is an equidigital number, since it uses as much as digits as its factorization.

1648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1648128 is about 1283.7943760587. The cubic root of 1648128 is about 118.1218696855.

The spelling of 1648128 in words is "one million, six hundred forty-eight thousand, one hundred twenty-eight".