214132320 has 144 divisors (see below), whose sum is σ = 750662640. Its totient is φ = 55544832.

The previous prime is 214132301. The next prime is 214132343. The reversal of 214132320 is 23231412.

214132320 is a `hidden beast` number, since 21 + 413 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214132293 and 214132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51271 + ... + 55289.

It is an arithmetic number, because the mean of its divisors is an integer number (5212935).

Almost surely, 2^214132320 is an apocalyptic number.

214132320 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 214132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375331320).

214132320 is an abundant number, since it is smaller than the sum of its proper divisors (536530320).

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

214132320 is a wasteful number, since it uses less digits than its factorization.

214132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214132320 is about 14633.2607439354. The cubic root of 214132320 is about 598.2656582616.

Adding to 214132320 its reverse (23231412), we get a palindrome (237363732).

The spelling of 214132320 in words is "two hundred fourteen million, one hundred thirty-two thousand, three hundred twenty".