541534080 has 128 divisors (see below), whose sum is σ = 1801336320. Its totient is φ = 138119168.

The previous prime is 541534079. The next prime is 541534171. The reversal of 541534080 is 80435145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38029 + ... + 50291.

It is an arithmetic number, because the mean of its divisors is an integer number (14072940).

Almost surely, 2^541534080 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 541534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900668160).

541534080 is an abundant number, since it is smaller than the sum of its proper divisors (1259802240).

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

541534080 is a wasteful number, since it uses less digits than its factorization.

541534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 541534080 is about 23270.8848134316. The cubic root of 541534080 is about 815.0956917764.

The spelling of 541534080 in words is "five hundred forty-one million, five hundred thirty-four thousand, eighty".