540955968 has 112 divisors (see below), whose sum is σ = 1675814784. Its totient is φ = 150773760.

The previous prime is 540955957. The next prime is 540955969. The reversal of 540955968 is 869559045.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 540955968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540955969) 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 15 ways as a sum of consecutive naturals, for example, 50196 + ... + 60012.

It is an arithmetic number, because the mean of its divisors is an integer number (14962632).

Almost surely, 2^540955968 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 540955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837907392).

540955968 is an abundant number, since it is smaller than the sum of its proper divisors (1134858816).

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

540955968 is a wasteful number, since it uses less digits than its factorization.

540955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The square root of 540955968 is about 23258.4601381949. The cubic root of 540955968 is about 814.8055380574.

The spelling of 540955968 in words is "five hundred forty million, nine hundred fifty-five thousand, nine hundred sixty-eight".