541123660 has 192 divisors, whose sum is σ = 1480550400. Its totient is φ = 164640000.

The previous prime is 541123613. The next prime is 541123663. The reversal of 541123660 is 66321145.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (541123663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5357610 + ... + 5357710.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^541123660 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 541123660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

541123660 is an abundant number, since it is smaller than the sum of its proper divisors (939426740).

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

541123660 is a wasteful number, since it uses less digits than its factorization.

541123660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 541123660 is about 23262.0648266658. The cubic root of 541123660 is about 814.8897237473.

The spelling of 541123660 in words is "five hundred forty-one million, one hundred twenty-three thousand, six hundred sixty".