541605960 has 256 divisors, whose sum is σ = 2130739200. Its totient is φ = 119750400.

The previous prime is 541605923. The next prime is 541605971. The reversal of 541605960 is 69506145.

541605960 is a `hidden beast` number, since 5 + 4 + 1 + 60 + 596 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233205 + ... + 235515.

It is an arithmetic number, because the mean of its divisors is an integer number (8323200).

Almost surely, 2^541605960 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 541605960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065369600).

541605960 is an abundant number, since it is smaller than the sum of its proper divisors (1589133240).

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

541605960 is a wasteful number, since it uses less digits than its factorization.

541605960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 541605960 is about 23272.4291813296. The cubic root of 541605960 is about 815.1317538258.

The spelling of 541605960 in words is "five hundred forty-one million, six hundred five thousand, nine hundred sixty".