540756216 has 512 divisors, whose sum is σ = 2099865600. Its totient is φ = 124416000.

The previous prime is 540756193. The next prime is 540756239. The reversal of 540756216 is 612657045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540756193) and next prime (540756239).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8864826 + ... + 8864886.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^540756216 is an apocalyptic number.

540756216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540756216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049932800).

540756216 is an abundant number, since it is smaller than the sum of its proper divisors (1559109384).

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

540756216 is a wasteful number, since it uses less digits than its factorization.

540756216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 540756216 is about 23254.1655623245. The cubic root of 540756216 is about 814.7052347161.

The spelling of 540756216 in words is "five hundred forty million, seven hundred fifty-six thousand, two hundred sixteen".