214323840 has 256 divisors, whose sum is σ = 773568000. Its totient is φ = 56070144.

The previous prime is 214323827. The next prime is 214323841. The reversal of 214323840 is 48323412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214323841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365042 + ... + 1365198.

It is an arithmetic number, because the mean of its divisors is an integer number (3021750).

Almost surely, 2^214323840 is an apocalyptic number.

214323840 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 214323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386784000).

214323840 is an abundant number, since it is smaller than the sum of its proper divisors (559244160).

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

214323840 is a wasteful number, since it uses less digits than its factorization.

214323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214323840 is about 14639.8032773668. The cubic root of 214323840 is about 598.4439680963.

The spelling of 214323840 in words is "two hundred fourteen million, three hundred twenty-three thousand, eight hundred forty".