540123660 has 144 divisors (see below), whose sum is σ = 1785561120. Its totient is φ = 135521280.

The previous prime is 540123629. The next prime is 540123679. The reversal of 540123660 is 66321045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154330 + ... + 157790.

It is an arithmetic number, because the mean of its divisors is an integer number (12399730).

Almost surely, 2^540123660 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 540123660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892780560).

540123660 is an abundant number, since it is smaller than the sum of its proper divisors (1245437460).

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

540123660 is a wasteful number, since it uses less digits than its factorization.

540123660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 540123660 is about 23240.5606644934. The cubic root of 540123660 is about 814.3874403976.

The spelling of 540123660 in words is "five hundred forty million, one hundred twenty-three thousand, six hundred sixty".