214171344 has 160 divisors (see below), whose sum is σ = 656208000. Its totient is φ = 66686976.

The previous prime is 214171333. The next prime is 214171361. The reversal of 214171344 is 443171412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796042 + ... + 796310.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^214171344 is an apocalyptic number.

214171344 is a gapful number since it is divisible by the number (24) 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 214171344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104000).

214171344 is an abundant number, since it is smaller than the sum of its proper divisors (442036656).

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

214171344 is a wasteful number, since it uses less digits than its factorization.

214171344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 214171344 is about 14634.5940838822. The cubic root of 214171344 is about 598.3019991885.

The spelling of 214171344 in words is "two hundred fourteen million, one hundred seventy-one thousand, three hundred forty-four".