216360420 has 96 divisors (see below), whose sum is σ = 621831168. Its totient is φ = 56191872.

The previous prime is 216360413. The next prime is 216360427. The reversal of 216360420 is 24063612.

It is an interprime number because it is at equal distance from previous prime (216360413) and next prime (216360427).

It is not an unprimeable number, because it can be changed into a prime (216360427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429889 + ... + 430391.

It is an arithmetic number, because the mean of its divisors is an integer number (6477408).

Almost surely, 2^216360420 is an apocalyptic number.

216360420 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 216360420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310915584).

216360420 is an abundant number, since it is smaller than the sum of its proper divisors (405470748).

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

216360420 is a wasteful number, since it uses less digits than its factorization.

216360420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 216360420 is about 14709.1950833484. The cubic root of 216360420 is about 600.3335367766. Note that the first 3 decimals are identical.

The spelling of 216360420 in words is "two hundred sixteen million, three hundred sixty thousand, four hundred twenty".