553644 has 72 divisors (see below), whose sum is σ = 1732640. Its totient is φ = 146016.

The previous prime is 553643. The next prime is 553649. The reversal of 553644 is 446355.

553644 = 15² + 16² + ... + 118².

Its product of digits (7200) is a multiple of the sum of its prime divisors (25).

It is not an unprimeable number, because it can be changed into a prime (553643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42582 + ... + 42594.

2⁵⁵³⁶⁴⁴ 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 553644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866320).

553644 is an abundant number, since it is smaller than the sum of its proper divisors (1178996).

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

553644 is a wasteful number, since it uses less digits than its factorization.

553644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 553644 is about 744.0725771052. The cubic root of 553644 is about 82.1126747695.

Adding to 553644 its reverse (446355), we get a palindrome (999999).

The spelling of 553644 in words is "five hundred fifty-three thousand, six hundred forty-four".