55632 has 40 divisors (see below), whose sum is σ = 153760. Its totient is φ = 17280.

The previous prime is 55631. The next prime is 55633. The reversal of 55632 is 23655.

55632 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (55631) and next prime (55633).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55599 and 55608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55631) by changing a digit.

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, 882 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (3844).

2⁵⁵⁶³² 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 55632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76880).

55632 is an abundant number, since it is smaller than the sum of its proper divisors (98128).

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

55632 is a wasteful number, since it uses less digits than its factorization.

55632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 55632 is about 235.8643678049. The cubic root of 55632 is about 38.1746348061.

Subtracting from 55632 its sum of digits (21), we obtain a triangular number (55611 = T₃₃₃).

It can be divided in two parts, 5563 and 2, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 55632 in words is "fifty-five thousand, six hundred thirty-two".