214908120 has 384 divisors, whose sum is σ = 866764800. Its totient is φ = 47174400.

The previous prime is 214908097. The next prime is 214908121. The reversal of 214908120 is 21809412.

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 (214908121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1640455 + ... + 1640585.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^214908120 is an apocalyptic number.

214908120 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 214908120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433382400).

214908120 is an abundant number, since it is smaller than the sum of its proper divisors (651856680).

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

214908120 is a wasteful number, since it uses less digits than its factorization.

214908120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

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

The square root of 214908120 is about 14659.7448818184. The cubic root of 214908120 is about 598.9872916647.

The spelling of 214908120 in words is "two hundred fourteen million, nine hundred eight thousand, one hundred twenty".