553320 has 96 divisors (see below), whose sum is σ = 1895400. Its totient is φ = 139776.

The previous prime is 553309. The next prime is 553351. The reversal of 553320 is 23355.

It can be written as a sum of positive squares in 4 ways, for example, as 492804 + 60516 = 702^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 553293 and 553302.

It is an unprimeable number.

553320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10414 + ... + 10466.

2⁵⁵³³²⁰ 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 553320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947700).

553320 is an abundant number, since it is smaller than the sum of its proper divisors (1342080).

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

553320 is a wasteful number, since it uses less digits than its factorization.

553320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 553320 is about 743.8548245458. The cubic root of 553320 is about 82.0966538258.

Adding to 553320 its reverse (23355), we get a palindrome (576675).

It can be divided in two parts, 55 and 3320, that added together give a cube (3375 = 15³).

The spelling of 553320 in words is "five hundred fifty-three thousand, three hundred twenty".