541186560 has 240 divisors, whose sum is σ = 1903565664. Its totient is φ = 142073856.

The previous prime is 541186543. The next prime is 541186609. The reversal of 541186560 is 65681145.

541186560 is a `hidden beast` number, since 5 + 4 + 11 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1912179 + ... + 1912461.

Almost surely, 2^541186560 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 541186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782832).

541186560 is an abundant number, since it is smaller than the sum of its proper divisors (1362379104).

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

541186560 is a wasteful number, since it uses less digits than its factorization.

541186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 541186560 is about 23263.4167739823. The cubic root of 541186560 is about 814.9212966769.

The spelling of 541186560 in words is "five hundred forty-one million, one hundred eighty-six thousand, five hundred sixty".