1348128 has 72 divisors (see below), whose sum is σ = 3983616. Its totient is φ = 432000.

The previous prime is 1348111. The next prime is 1348129. The reversal of 1348128 is 8218431.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1348129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8853 + ... + 9003.

It is an arithmetic number, because the mean of its divisors is an integer number (55328).

2^1348128 is an apocalyptic number.

1348128 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 1348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991808).

1348128 is an abundant number, since it is smaller than the sum of its proper divisors (2635488).

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

1348128 is a wasteful number, since it uses less digits than its factorization.

1348128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1348128 is about 1161.0891438645. The cubic root of 1348128 is about 110.4698360915.

The spelling of 1348128 in words is "one million, three hundred forty-eight thousand, one hundred twenty-eight".