214344020 has 48 divisors (see below), whose sum is σ = 493710336. Its totient is φ = 77520000.

The previous prime is 214344019. The next prime is 214344049. The reversal of 214344020 is 20443412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214343983 and 214344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39470 + ... + 44570.

It is an arithmetic number, because the mean of its divisors is an integer number (10285632).

Almost surely, 2^214344020 is an apocalyptic number.

214344020 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 214344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246855168).

214344020 is an abundant number, since it is smaller than the sum of its proper divisors (279366316).

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

214344020 is a wasteful number, since it uses less digits than its factorization.

214344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214344020 is about 14640.4924780555. The cubic root of 214344020 is about 598.4627499862.

Adding to 214344020 its reverse (20443412), we get a palindrome (234787432).

The spelling of 214344020 in words is "two hundred fourteen million, three hundred forty-four thousand, twenty".