13620528 has 80 divisors (see below), whose sum is σ = 40101600. Its totient is φ = 4423680.

The previous prime is 13620527. The next prime is 13620533. The reversal of 13620528 is 82502631.

13620528 is a `hidden beast` number, since 13 + 620 + 5 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13620521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17328 + ... + 18096.

It is an arithmetic number, because the mean of its divisors is an integer number (501270).

Almost surely, 2^13620528 is an apocalyptic number.

13620528 is a gapful number since it is divisible by the number (18) 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 13620528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050800).

13620528 is an abundant number, since it is smaller than the sum of its proper divisors (26481072).

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

13620528 is a wasteful number, since it uses less digits than its factorization.

13620528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

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

The square root of 13620528 is about 3690.5999512274. The cubic root of 13620528 is about 238.8166751821.

The spelling of 13620528 in words is "thirteen million, six hundred twenty thousand, five hundred twenty-eight".