13220896 has 48 divisors (see below), whose sum is σ = 28545048. Its totient is φ = 5990400.

The previous prime is 13220891. The next prime is 13220899. The reversal of 13220896 is 69802231.

It can be written as a sum of positive squares in 4 ways, for example, as 3857296 + 9363600 = 1964^2 + 3060^2 .

It is not an unprimeable number, because it can be changed into a prime (13220891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25116 + ... + 25636.

Almost surely, 2^13220896 is an apocalyptic number.

13220896 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 13220896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272524).

13220896 is an abundant number, since it is smaller than the sum of its proper divisors (15324152).

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

13220896 is a wasteful number, since it uses less digits than its factorization.

13220896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 13220896 is about 3636.0550050845. The cubic root of 13220896 is about 236.4577918588.

The spelling of 13220896 in words is "thirteen million, two hundred twenty thousand, eight hundred ninety-six".