540653120 has 56 divisors (see below), whose sum is σ = 1471354944. Its totient is φ = 185366016.

The previous prime is 540653117. The next prime is 540653123. The reversal of 540653120 is 21356045.

It is an interprime number because it is at equal distance from previous prime (540653117) and next prime (540653123).

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 540653120.

It is not an unprimeable number, because it can be changed into a prime (540653123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 118442 + ... + 122921.

Almost surely, 2^540653120 is an apocalyptic number.

It is an amenable number.

540653120 is an abundant number, since it is smaller than the sum of its proper divisors (930701824).

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

540653120 is a wasteful number, since it uses less digits than its factorization.

540653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241387 (or 241377 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 540653120 is about 23251.9487355361. The cubic root of 540653120 is about 814.6534564922.

The spelling of 540653120 in words is "five hundred forty million, six hundred fifty-three thousand, one hundred twenty".