214008080 has 120 divisors (see below), whose sum is σ = 588176640. Its totient is φ = 71784960.

The previous prime is 214008043. The next prime is 214008083. The reversal of 214008080 is 80800412.

It is not an unprimeable number, because it can be changed into a prime (214008083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148001 + ... + 149439.

It is an arithmetic number, because the mean of its divisors is an integer number (4901472).

Almost surely, 2^214008080 is an apocalyptic number.

214008080 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 214008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294088320).

214008080 is an abundant number, since it is smaller than the sum of its proper divisors (374168560).

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

214008080 is a wasteful number, since it uses less digits than its factorization.

214008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 214008080 is about 14629.0150044355. The cubic root of 214008080 is about 598.1499309001.

Adding to 214008080 its reverse (80800412), we get a palindrome (294808492).

The spelling of 214008080 in words is "two hundred fourteen million, eight thousand, eighty".