214840080 has 320 divisors, whose sum is σ = 911608320. Its totient is φ = 45287424.

The previous prime is 214840069. The next prime is 214840097. The reversal of 214840080 is 80048412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196014 + ... + 197106.

It is an arithmetic number, because the mean of its divisors is an integer number (2848776).

Almost surely, 2^214840080 is an apocalyptic number.

214840080 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 214840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455804160).

214840080 is an abundant number, since it is smaller than the sum of its proper divisors (696768240).

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

214840080 is a wasteful number, since it uses less digits than its factorization.

214840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 214840080 is about 14657.4240574529. The cubic root of 214840080 is about 598.9240717840.

Adding to 214840080 its reverse (80048412), we get a palindrome (294888492).

The spelling of 214840080 in words is "two hundred fourteen million, eight hundred forty thousand, eighty".