13215216 has 80 divisors (see below), whose sum is σ = 40108544. Its totient is φ = 3670272.

The previous prime is 13215193. The next prime is 13215221. The reversal of 13215216 is 61251231.

13215216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13215192 and 13215201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11901 + ... + 12963.

Almost surely, 2^13215216 is an apocalyptic number.

13215216 is a gapful number since it is divisible by the number (16) 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 13215216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054272).

13215216 is an abundant number, since it is smaller than the sum of its proper divisors (26893328).

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

13215216 is a wasteful number, since it uses less digits than its factorization.

13215216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 13215216 is about 3635.2738548836. The cubic root of 13215216 is about 236.4239244456.

Adding to 13215216 its reverse (61251231), we get a palindrome (74466447).

It can be divided in two parts, 13215 and 216, that added together give a palindrome (13431).

The spelling of 13215216 in words is "thirteen million, two hundred fifteen thousand, two hundred sixteen".