1355328 has 84 divisors (see below), whose sum is σ = 4206748. Its totient is φ = 414720.

The previous prime is 1355323. The next prime is 1355329. The reversal of 1355328 is 8235531.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 1272384 = 288^2 + 1128^2 .

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1355323) 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, 7398 + ... + 7578.

2^1355328 is an apocalyptic number.

1355328 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 1355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103374).

1355328 is an abundant number, since it is smaller than the sum of its proper divisors (2851420).

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

1355328 is a wasteful number, since it uses less digits than its factorization.

1355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1355328 is about 1164.1855522210. The cubic root of 1355328 is about 110.6661505436. Note that the first 3 decimals are identical.

The spelling of 1355328 in words is "one million, three hundred fifty-five thousand, three hundred twenty-eight".