216085420 has 48 divisors (see below), whose sum is σ = 460551168. Its totient is φ = 85155840.

The previous prime is 216085403. The next prime is 216085427. The reversal of 216085420 is 24580612.

216085420 is digitally balanced in base 2, 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 (216085427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611964 + ... + 612316.

It is an arithmetic number, because the mean of its divisors is an integer number (9594816).

Almost surely, 2^216085420 is an apocalyptic number.

216085420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216085420 is an abundant number, since it is smaller than the sum of its proper divisors (244465748).

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

216085420 is a wasteful number, since it uses less digits than its factorization.

216085420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 216085420 is about 14699.8442168616. The cubic root of 216085420 is about 600.0790821688.

It can be divided in two parts, 21608 and 5420, that added together give a triangular number (27028 = T₂₃₂).

The spelling of 216085420 in words is "two hundred sixteen million, eighty-five thousand, four hundred twenty".