1363128 has 64 divisors (see below), whose sum is σ = 3900960. Its totient is φ = 393216.

The previous prime is 1363121. The next prime is 1363133. The reversal of 1363128 is 8213631.

1363128 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 1363098 and 1363107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5176 + ... + 5432.

2^1363128 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 1363128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950480).

1363128 is an abundant number, since it is smaller than the sum of its proper divisors (2537832).

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

1363128 is a wasteful number, since it uses less digits than its factorization.

1363128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1363128 is about 1167.5307276470. The cubic root of 1363128 is about 110.8780415230.

Adding to 1363128 its reverse (8213631), we get a palindrome (9576759).

The spelling of 1363128 in words is "one million, three hundred sixty-three thousand, one hundred twenty-eight".