541198080 has 216 divisors, whose sum is σ = 1894052160. Its totient is φ = 142663680.

The previous prime is 541198079. The next prime is 541198081. The reversal of 541198080 is 80891145.

It is an interprime number because it is at equal distance from previous prime (541198079) and next prime (541198081).

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 (541198081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255465 + ... + 1255895.

It is an arithmetic number, because the mean of its divisors is an integer number (8768760).

Almost surely, 2^541198080 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 541198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947026080).

541198080 is an abundant number, since it is smaller than the sum of its proper divisors (1352854080).

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

541198080 is a wasteful number, since it uses less digits than its factorization.

541198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 541198080 is about 23263.6643717193. The cubic root of 541198080 is about 814.9270789261.

The spelling of 541198080 in words is "five hundred forty-one million, one hundred ninety-eight thousand, eighty".