13214320 has 60 divisors (see below), whose sum is σ = 35749944. Its totient is φ = 4529280.

The previous prime is 13214303. The next prime is 13214323. The reversal of 13214320 is 2341231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13214294 and 13214303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214323) 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, 2235 + ... + 5605.

Almost surely, 2^13214320 is an apocalyptic number.

13214320 is a gapful number since it is divisible by the number (10) 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 13214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874972).

13214320 is an abundant number, since it is smaller than the sum of its proper divisors (22535624).

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

13214320 is a wasteful number, since it uses less digits than its factorization.

13214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13214320 is about 3635.1506158617. The cubic root of 13214320 is about 236.4185810943.

Adding to 13214320 its reverse (2341231), we get a palindrome (15555551).

The spelling of 13214320 in words is "thirteen million, two hundred fourteen thousand, three hundred twenty".