1361328 has 40 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 446784.

The previous prime is 1361317. The next prime is 1361357. The reversal of 1361328 is 8231631.

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 = 1361298 and 1361307.

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, 3613 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^1361328 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 1361328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1361328 is an abundant number, since it is smaller than the sum of its proper divisors (2209872).

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

1361328 is a wasteful number, since it uses less digits than its factorization.

1361328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

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

The square root of 1361328 is about 1166.7596153450. The cubic root of 1361328 is about 110.8292154926.

Adding to 1361328 its reverse (8231631), we get a palindrome (9592959).

The spelling of 1361328 in words is "one million, three hundred sixty-one thousand, three hundred twenty-eight".