541600 has 36 divisors (see below), whose sum is σ = 1324134. Its totient is φ = 216320.

The previous prime is 541589. The next prime is 541613. The reversal of 541600 is 6145.

It can be written as a sum of positive squares in 3 ways, for example, as 524176 + 17424 = 724^2 + 132^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

541600 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 5 ways as a sum of consecutive naturals, for example, 462 + ... + 1138.

2⁵⁴¹⁶⁰⁰ is an apocalyptic number.

541600 is a gapful number since it is divisible by the number (50) 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 541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662067).

541600 is an abundant number, since it is smaller than the sum of its proper divisors (782534).

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

541600 is a wasteful number, since it uses less digits than its factorization.

541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 541600 is about 735.9347797190. The cubic root of 541600 is about 81.5128763827.

Adding to 541600 its reverse (6145), we get a palindrome (547745).

The spelling of 541600 in words is "five hundred forty-one thousand, six hundred".