540816216 has 72 divisors (see below), whose sum is σ = 1395232260. Its totient is φ = 174689600.

The previous prime is 540816191. The next prime is 540816239. The reversal of 540816216 is 612618045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5354566 + ... + 5354666.

Almost surely, 2^540816216 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 540816216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697616130).

540816216 is an abundant number, since it is smaller than the sum of its proper divisors (854416044).

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

540816216 is a wasteful number, since it uses less digits than its factorization.

540816216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 540816216 is about 23255.4556179835. The cubic root of 540816216 is about 814.7353656727.

The spelling of 540816216 in words is "five hundred forty million, eight hundred sixteen thousand, two hundred sixteen".