216027840 has 448 divisors, whose sum is σ = 870801408. Its totient is φ = 44236800.

The previous prime is 216027817. The next prime is 216027869. The reversal of 216027840 is 48720612.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 216027798 and 216027807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3541410 + ... + 3541470.

Almost surely, 2^216027840 is an apocalyptic number.

216027840 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 216027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435400704).

216027840 is an abundant number, since it is smaller than the sum of its proper divisors (654773568).

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

216027840 is a wasteful number, since it uses less digits than its factorization.

216027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 216027840 is about 14697.8855622161. The cubic root of 216027840 is about 600.0257766704.

The spelling of 216027840 in words is "two hundred sixteen million, twenty-seven thousand, eight hundred forty".