216873540 has 72 divisors (see below), whose sum is σ = 708461208. Its totient is φ = 53383680.

The previous prime is 216873529. The next prime is 216873589. The reversal of 216873540 is 45378612.

216873540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 216619524 = 504^2 + 14718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216873495 and 216873504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44001 + ... + 48680.

It is an arithmetic number, because the mean of its divisors is an integer number (9839739).

Almost surely, 2^216873540 is an apocalyptic number.

216873540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216873540 is an abundant number, since it is smaller than the sum of its proper divisors (491587668).

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

216873540 is a wasteful number, since it uses less digits than its factorization.

216873540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92709 (or 92704 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 216873540 is about 14726.6269050316. The cubic root of 216873540 is about 600.8077454242.

The spelling of 216873540 in words is "two hundred sixteen million, eight hundred seventy-three thousand, five hundred forty".