541876536 has 72 divisors (see below), whose sum is σ = 1499911920. Its totient is φ = 176730528.

The previous prime is 541876529. The next prime is 541876537. The reversal of 541876536 is 635678145.

541876536 is a `hidden beast` number, since 5 + 41 + 8 + 76 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×541876536³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 541876491 and 541876500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541876537) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157345 + ... + 160751.

It is an arithmetic number, because the mean of its divisors is an integer number (20832110).

Almost surely, 2^541876536 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 541876536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749955960).

541876536 is an abundant number, since it is smaller than the sum of its proper divisors (958035384).

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

541876536 is a wasteful number, since it uses less digits than its factorization.

541876536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3459 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 541876536 is about 23278.2416861755. The cubic root of 541876536 is about 815.2674726494.

The spelling of 541876536 in words is "five hundred forty-one million, eight hundred seventy-six thousand, five hundred thirty-six".