214905120 has 96 divisors (see below), whose sum is σ = 682032960. Its totient is φ = 56878080.

The previous prime is 214905091. The next prime is 214905137. The reversal of 214905120 is 21509412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 65110 + ... + 68330.

It is an arithmetic number, because the mean of its divisors is an integer number (7104510).

Almost surely, 2^214905120 is an apocalyptic number.

214905120 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 214905120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341016480).

214905120 is an abundant number, since it is smaller than the sum of its proper divisors (467127840).

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

214905120 is a wasteful number, since it uses less digits than its factorization.

214905120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 214905120 is about 14659.6425604446. The cubic root of 214905120 is about 598.9845044733.

The spelling of 214905120 in words is "two hundred fourteen million, nine hundred five thousand, one hundred twenty".