214921080 has 256 divisors, whose sum is σ = 794880000. Its totient is φ = 51217920.

The previous prime is 214921061. The next prime is 214921081. The reversal of 214921080 is 80129412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214921081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938406 + ... + 938634.

It is an arithmetic number, because the mean of its divisors is an integer number (3105000).

Almost surely, 2^214921080 is an apocalyptic number.

214921080 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 214921080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440000).

214921080 is an abundant number, since it is smaller than the sum of its proper divisors (579958920).

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

214921080 is a wasteful number, since it uses less digits than its factorization.

214921080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 214921080 is about 14660.1869019464. The cubic root of 214921080 is about 598.9993320338. Note that the first 3 decimals are identical.

The spelling of 214921080 in words is "two hundred fourteen million, nine hundred twenty-one thousand, eighty".