541831680 has 480 divisors, whose sum is σ = 2126988864. Its totient is φ = 131383296.

The previous prime is 541831673. The next prime is 541831681. The reversal of 541831680 is 86138145.

541831680 is a `hidden beast` number, since 541 + 8 + 31 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541831681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8087007 + ... + 8087073.

Almost surely, 2^541831680 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 541831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063494432).

541831680 is an abundant number, since it is smaller than the sum of its proper divisors (1585157184).

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

541831680 is an equidigital number, since it uses as much as digits as its factorization.

541831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 541831680 is about 23277.2781914037. The cubic root of 541831680 is about 815.2449763521.

The spelling of 541831680 in words is "five hundred forty-one million, eight hundred thirty-one thousand, six hundred eighty".