541824 has 64 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 167936.

The previous prime is 541817. The next prime is 541831. The reversal of 541824 is 428145.

It is an interprime number because it is at equal distance from previous prime (541817) and next prime (541831).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 541794 and 541803.

It is an unprimeable number.

541824 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 7 ways as a sum of consecutive naturals, for example, 6487 + ... + 6569.

2⁵⁴¹⁸²⁴ 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 541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

541824 is an abundant number, since it is smaller than the sum of its proper divisors (1000416).

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

541824 is a wasteful number, since it uses less digits than its factorization.

541824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 541824 is about 736.0869513855. The cubic root of 541824 is about 81.5241124534.

Adding to 541824 its reverse (428145), we get a palindrome (969969).

The spelling of 541824 in words is "five hundred forty-one thousand, eight hundred twenty-four".