216055840 has 384 divisors, whose sum is σ = 731566080. Its totient is φ = 58060800.

The previous prime is 216055831. The next prime is 216055841. The reversal of 216055840 is 48550612.

216055840 = T₃₉₂ + T₃₉₃ + ... + T₁₁₀₆.

216055840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216055841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3043005 + ... + 3043075.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^216055840 is an apocalyptic number.

216055840 is a gapful number since it is divisible by the number (20) 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 216055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

216055840 is an abundant number, since it is smaller than the sum of its proper divisors (515510240).

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

216055840 is a wasteful number, since it uses less digits than its factorization.

216055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 216055840 is about 14698.8380493153. The cubic root of 216055840 is about 600.0516992489.

The spelling of 216055840 in words is "two hundred sixteen million, fifty-five thousand, eight hundred forty".