540368192 has 224 divisors, whose sum is σ = 1414662144. Its totient is φ = 199065600.

The previous prime is 540368167. The next prime is 540368201. The reversal of 540368192 is 291863045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7402268 + ... + 7402340.

It is an arithmetic number, because the mean of its divisors is an integer number (6315456).

Almost surely, 2^540368192 is an apocalyptic number.

540368192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707331072).

540368192 is an abundant number, since it is smaller than the sum of its proper divisors (874293952).

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

540368192 is a wasteful number, since it uses less digits than its factorization.

540368192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 540368192 is about 23245.8209577550. The cubic root of 540368192 is about 814.5103219763.

The spelling of 540368192 in words is "five hundred forty million, three hundred sixty-eight thousand, one hundred ninety-two".