541635160 has 64 divisors (see below), whose sum is σ = 1333843200. Its totient is φ = 196310400.

The previous prime is 541635137. The next prime is 541635161. The reversal of 541635160 is 61536145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541635161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143781 + ... + 147499.

It is an arithmetic number, because the mean of its divisors is an integer number (20841300).

Almost surely, 2^541635160 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 541635160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666921600).

541635160 is an abundant number, since it is smaller than the sum of its proper divisors (792208040).

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

541635160 is a wasteful number, since it uses less digits than its factorization.

541635160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 541635160 is about 23273.0565246596. The cubic root of 541635160 is about 815.1464024949.

The spelling of 541635160 in words is "five hundred forty-one million, six hundred thirty-five thousand, one hundred sixty".