541185960 has 128 divisors (see below), whose sum is σ = 1898772480. Its totient is φ = 120814848.

The previous prime is 541185947. The next prime is 541185971. The reversal of 541185960 is 69581145.

It is a super-2 number, since 2×541185960² = 585764486602243200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28629 + ... + 43611.

It is an arithmetic number, because the mean of its divisors is an integer number (14834160).

Almost surely, 2^541185960 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 541185960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949386240).

541185960 is an abundant number, since it is smaller than the sum of its proper divisors (1357586520).

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

541185960 is a wasteful number, since it uses less digits than its factorization.

541185960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15047 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 541185960 is about 23263.4038781946. The cubic root of 541185960 is about 814.9209955158.

The spelling of 541185960 in words is "five hundred forty-one million, one hundred eighty-five thousand, nine hundred sixty".