540552960 has 144 divisors (see below), whose sum is σ = 1918334880. Its totient is φ = 144138240.

The previous prime is 540552959. The next prime is 540552973. The reversal of 540552960 is 69255045.

540552960 is a `hidden beast` number, since 5 + 40 + 552 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26740 + ... + 42380.

It is an arithmetic number, because the mean of its divisors is an integer number (13321770).

Almost surely, 2^540552960 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 540552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959167440).

540552960 is an abundant number, since it is smaller than the sum of its proper divisors (1377781920).

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

540552960 is a wasteful number, since it uses less digits than its factorization.

540552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 540552960 is about 23249.7948378045. The cubic root of 540552960 is about 814.6031465206.

It can be divided in two parts, 540 and 552960, that multiplied together give a square (298598400 = 17280²).

The spelling of 540552960 in words is "five hundred forty million, five hundred fifty-two thousand, nine hundred sixty".