541296 has 80 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 153792.

The previous prime is 541283. The next prime is 541301. The reversal of 541296 is 692145.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541296.

It is an unprimeable number.

541296 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 15 ways as a sum of consecutive naturals, for example, 2935 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁵⁴¹²⁹⁶ is an apocalyptic number.

541296 is a gapful number since it is divisible by the number (56) 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 541296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

541296 is an abundant number, since it is smaller than the sum of its proper divisors (1244304).

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

541296 is a wasteful number, since it uses less digits than its factorization.

541296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 541296 is about 735.7282106865. The cubic root of 541296 is about 81.4976224732.

The spelling of 541296 in words is "five hundred forty-one thousand, two hundred ninety-six".