541632 has 112 divisors (see below), whose sum is σ = 1820672. Its totient is φ = 138240.

The previous prime is 541631. The next prime is 541657. The reversal of 541632 is 236145.

It is a happy number.

541632 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 541599 and 541608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17457 + ... + 17487.

It is an arithmetic number, because the mean of its divisors is an integer number (16256).

2⁵⁴¹⁶³² is an apocalyptic number.

541632 is a gapful number since it is divisible by the number (52) 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 541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910336).

541632 is an abundant number, since it is smaller than the sum of its proper divisors (1279040).

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

541632 is a wasteful number, since it uses less digits than its factorization.

541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 541632 is about 735.9565204548. The cubic root of 541632 is about 81.5144817253.

Adding to 541632 its reverse (236145), we get a palindrome (777777).

The spelling of 541632 in words is "five hundred forty-one thousand, six hundred thirty-two".