541634688 has 320 divisors, whose sum is σ = 1954972800. Its totient is φ = 145317888.

The previous prime is 541634663. The next prime is 541634699. The reversal of 541634688 is 886436145.

541634688 is a `hidden beast` number, since 5 + 4 + 1 + 634 + 6 + 8 + 8 = 666.

It is a super-3 number, since 3×541634688³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233573 + ... + 1234011.

It is an arithmetic number, because the mean of its divisors is an integer number (6109290).

Almost surely, 2^541634688 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 541634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977486400).

541634688 is an abundant number, since it is smaller than the sum of its proper divisors (1413338112).

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

541634688 is a wasteful number, since it uses less digits than its factorization.

541634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 468 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 541634688 is about 23273.0463841758. The cubic root of 541634688 is about 815.1461657124.

It can be divided in two parts, 5416 and 34688, that added together give a palindrome (40104).

The spelling of 541634688 in words is "five hundred forty-one million, six hundred thirty-four thousand, six hundred eighty-eight".