214104020 has 48 divisors (see below), whose sum is σ = 487202688. Its totient is φ = 78564480.

The previous prime is 214104017. The next prime is 214104049. The reversal of 214104020 is 20401412.

It is a junction number, because it is equal to n+sod(n) for n = 214103986 and 214104004.

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, 40955 + ... + 45885.

It is an arithmetic number, because the mean of its divisors is an integer number (10150056).

Almost surely, 2^214104020 is an apocalyptic number.

214104020 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 214104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243601344).

214104020 is an abundant number, since it is smaller than the sum of its proper divisors (273098668).

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

214104020 is a wasteful number, since it uses less digits than its factorization.

214104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 214104020 is about 14632.2937368001. The cubic root of 214104020 is about 598.2393012501.

Adding to 214104020 its reverse (20401412), we get a palindrome (234505432).

The spelling of 214104020 in words is "two hundred fourteen million, one hundred four thousand, twenty".