214082784 has 48 divisors (see below), whose sum is σ = 624410640. Its totient is φ = 71360640.

The previous prime is 214082779. The next prime is 214082797. The reversal of 214082784 is 487280412.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123027 + ... + 124754.

It is an arithmetic number, because the mean of its divisors is an integer number (13008555).

Almost surely, 2^214082784 is an apocalyptic number.

214082784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214082784 is an abundant number, since it is smaller than the sum of its proper divisors (410327856).

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

214082784 is a wasteful number, since it uses less digits than its factorization.

214082784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247800 (or 247786 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 214082784 is about 14631.5680636082. The cubic root of 214082784 is about 598.2195217214.

The spelling of 214082784 in words is "two hundred fourteen million, eighty-two thousand, seven hundred eighty-four".