540771816 has 128 divisors (see below), whose sum is σ = 1533168000. Its totient is φ = 157774848.

The previous prime is 540771793. The next prime is 540771839. The reversal of 540771816 is 618177045.

It is an interprime number because it is at equal distance from previous prime (540771793) and next prime (540771839).

It is a hoax number, since the sum of its digits (39) 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 (39).

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 31 ways as a sum of consecutive naturals, for example, 533326 + ... + 534338.

It is an arithmetic number, because the mean of its divisors is an integer number (11977875).

Almost surely, 2^540771816 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 540771816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766584000).

540771816 is an abundant number, since it is smaller than the sum of its proper divisors (992396184).

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

540771816 is a wasteful number, since it uses less digits than its factorization.

540771816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 540771816 is about 23254.5009836806. The cubic root of 540771816 is about 814.7130689792.

The spelling of 540771816 in words is "five hundred forty million, seven hundred seventy-one thousand, eight hundred sixteen".