13526220 has 96 divisors (see below), whose sum is σ = 40824000. Its totient is φ = 3334144.

The previous prime is 13526207. The next prime is 13526239. The reversal of 13526220 is 2262531.

13526220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90706 + ... + 90854.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 2^13526220 is an apocalyptic number.

13526220 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 13526220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

13526220 is an abundant number, since it is smaller than the sum of its proper divisors (27297780).

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

13526220 is a wasteful number, since it uses less digits than its factorization.

13526220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13526220 is about 3677.8009734079. The cubic root of 13526220 is about 238.2642123821.

Adding to 13526220 its reverse (2262531), we get a palindrome (15788751).

The spelling of 13526220 in words is "thirteen million, five hundred twenty-six thousand, two hundred twenty".