540213216 has 48 divisors (see below), whose sum is σ = 1501479504. Its totient is φ = 169478144.

The previous prime is 540213211. The next prime is 540213239. The reversal of 540213216 is 612312045.

540213216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540213211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163875 + ... + 167138.

It is an arithmetic number, because the mean of its divisors is an integer number (31280823).

Almost surely, 2^540213216 is an apocalyptic number.

It is an amenable number.

540213216 is an abundant number, since it is smaller than the sum of its proper divisors (961266288).

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

540213216 is a wasteful number, since it uses less digits than its factorization.

540213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331043 (or 331035 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 540213216 is about 23242.4873023521. The cubic root of 540213216 is about 814.4324481470.

The spelling of 540213216 in words is "five hundred forty million, two hundred thirteen thousand, two hundred sixteen".