214084320 has 48 divisors (see below), whose sum is σ = 674367120. Its totient is φ = 57089024.

The previous prime is 214084303. The next prime is 214084333. The reversal of 214084320 is 23480412.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222525 + ... + 223484.

It is an arithmetic number, because the mean of its divisors is an integer number (14049315).

Almost surely, 2^214084320 is an apocalyptic number.

214084320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214084320 is an abundant number, since it is smaller than the sum of its proper divisors (460282800).

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

214084320 is a wasteful number, since it uses less digits than its factorization.

214084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446027 (or 446019 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214084320 is about 14631.6205527617. The cubic root of 214084320 is about 598.2209524187.

The spelling of 214084320 in words is "two hundred fourteen million, eighty-four thousand, three hundred twenty".