214001320 has 48 divisors (see below), whose sum is σ = 521407260. Its totient is φ = 79013376.

The previous prime is 214001257. The next prime is 214001323. The reversal of 214001320 is 23100412.

It can be written as a sum of positive squares in 6 ways, for example, as 20958084 + 193043236 = 4578^2 + 13894^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 214001320.

It is not an unprimeable number, because it can be changed into a prime (214001323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9069 + ... + 22588.

Almost surely, 2^214001320 is an apocalyptic number.

214001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214001320 is an abundant number, since it is smaller than the sum of its proper divisors (307405940).

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

214001320 is a wasteful number, since it uses less digits than its factorization.

214001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31694 (or 31677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 214001320 is about 14628.7839549294. The cubic root of 214001320 is about 598.1436327951.

Adding to 214001320 its reverse (23100412), we get a palindrome (237101732).

The spelling of 214001320 in words is "two hundred fourteen million, one thousand, three hundred twenty".