216035820 has 432 divisors, whose sum is σ = 894653760. Its totient is φ = 41057280.

The previous prime is 216035801. The next prime is 216035837. The reversal of 216035820 is 28530612.

216035820 is a `hidden beast` number, since 2 + 1 + 603 + 58 + 2 + 0 = 666.

216035820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1981926 + ... + 1982034.

Almost surely, 2^216035820 is an apocalyptic number.

216035820 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 216035820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447326880).

216035820 is an abundant number, since it is smaller than the sum of its proper divisors (678617940).

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

216035820 is a wasteful number, since it uses less digits than its factorization.

216035820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216035820 is about 14698.1570273283. The cubic root of 216035820 is about 600.0331648335.

The spelling of 216035820 in words is "two hundred sixteen million, thirty-five thousand, eight hundred twenty".