540933120 has 704 divisors, whose sum is σ = 2421027840. Its totient is φ = 111476736.

The previous prime is 540933103. The next prime is 540933121. The reversal of 540933120 is 21339045.

540933120 is a `hidden beast` number, since 540 + 93 + 31 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540933121) 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, 12579819 + ... + 12579861.

It is an arithmetic number, because the mean of its divisors is an integer number (3438960).

Almost surely, 2^540933120 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 540933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210513920).

540933120 is an abundant number, since it is smaller than the sum of its proper divisors (1880094720).

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

540933120 is a wasteful number, since it uses less digits than its factorization.

540933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 540933120 is about 23257.9689568973. The cubic root of 540933120 is about 814.7940664281.

The spelling of 540933120 in words is "five hundred forty million, nine hundred thirty-three thousand, one hundred twenty".