541320 has 64 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 132864.

The previous prime is 541309. The next prime is 541339. The reversal of 541320 is 23145.

541320 is a nontrivial binomial coefficient, being equal to C(1041, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 541320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2⁵⁴¹³²⁰ is an apocalyptic number.

541320 is the 1040-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

541320 is an abundant number, since it is smaller than the sum of its proper divisors (1212600).

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

541320 is a wasteful number, since it uses less digits than its factorization.

541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 541320 is about 735.7445208766. The cubic root of 541320 is about 81.4988269368.

Adding to 541320 its reverse (23145), we get a palindrome (564465).

It can be divided in two parts, 541 and 320, that added together give a triangular number (861 = T₄₁).

The spelling of 541320 in words is "five hundred forty-one thousand, three hundred twenty".