216146420 has 96 divisors (see below), whose sum is σ = 536481792. Its totient is φ = 71618688.

The previous prime is 216146417. The next prime is 216146429. The reversal of 216146420 is 24641612.

216146420 = T₁₆₈₀ + T₁₆₈₁ + ... + T₁₈₂₀.

It is a self number, because there is not a number n which added to its sum of digits gives 216146420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216146429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703907 + ... + 704213.

It is an arithmetic number, because the mean of its divisors is an integer number (5588352).

Almost surely, 2^216146420 is an apocalyptic number.

216146420 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 216146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268240896).

216146420 is an abundant number, since it is smaller than the sum of its proper divisors (320335372).

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

216146420 is a wasteful number, since it uses less digits than its factorization.

216146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 216146420 is about 14701.9189223720. The cubic root of 216146420 is about 600.1355434517.

The spelling of 216146420 in words is "two hundred sixteen million, one hundred forty-six thousand, four hundred twenty".