214189920 has 288 divisors, whose sum is σ = 867379968. Its totient is φ = 48895488.

The previous prime is 214189903. The next prime is 214189967. The reversal of 214189920 is 29981412.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 271767 + ... + 272553.

It is an arithmetic number, because the mean of its divisors is an integer number (3011736).

Almost surely, 2^214189920 is an apocalyptic number.

214189920 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 214189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433689984).

214189920 is an abundant number, since it is smaller than the sum of its proper divisors (653190048).

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

214189920 is an equidigital number, since it uses as much as digits as its factorization.

214189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 214189920 is about 14635.2287307032. The cubic root of 214189920 is about 598.3192964552.

The spelling of 214189920 in words is "two hundred fourteen million, one hundred eighty-nine thousand, nine hundred twenty".