541689120 has 360 divisors, whose sum is σ = 2226434364. Its totient is φ = 123669504.

The previous prime is 541689101. The next prime is 541689121. The reversal of 541689120 is 21986145.

541689120 is a `hidden beast` number, since 541 + 6 + 8 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480661776 + 61027344 = 21924^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (541689121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634614 + ... + 635466.

Almost surely, 2^541689120 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 541689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113217182).

541689120 is an abundant number, since it is smaller than the sum of its proper divisors (1684745244).

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

541689120 is a wasteful number, since it uses less digits than its factorization.

541689120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 541689120 is about 23274.2157762619. The cubic root of 541689120 is about 815.1734710474.

The spelling of 541689120 in words is "five hundred forty-one million, six hundred eighty-nine thousand, one hundred twenty".