553632 has 48 divisors (see below), whose sum is σ = 1491840. Its totient is φ = 179712.

The previous prime is 553627. The next prime is 553643. The reversal of 553632 is 236355.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6969 + ... + 7047.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2⁵⁵³⁶³² 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 553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745920).

553632 is an abundant number, since it is smaller than the sum of its proper divisors (938208).

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

553632 is a wasteful number, since it uses less digits than its factorization.

553632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 553632 is about 744.0645133320. The cubic root of 553632 is about 82.1120815127.

Adding to 553632 its reverse (236355), we get a palindrome (789987).

The spelling of 553632 in words is "five hundred fifty-three thousand, six hundred thirty-two".