13225680 has 200 divisors, whose sum is σ = 49783272. Its totient is φ = 3234816.

The previous prime is 13225631. The next prime is 13225699. The reversal of 13225680 is 8652231.

13225680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 13220496 = 72^2 + 3636^2 .

It is a super-2 number, since 2×13225680² = 349837222924800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 84162 + ... + 84318.

Almost surely, 2^13225680 is an apocalyptic number.

13225680 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 13225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24891636).

13225680 is an abundant number, since it is smaller than the sum of its proper divisors (36557592).

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

13225680 is a wasteful number, since it uses less digits than its factorization.

13225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13225680 is about 3636.7128014183. The cubic root of 13225680 is about 236.4863092820.

The spelling of 13225680 in words is "thirteen million, two hundred twenty-five thousand, six hundred eighty".