13252680 has 128 divisors (see below), whose sum is σ = 50515200. Its totient is φ = 3027456.

The previous prime is 13252663. The next prime is 13252691. The reversal of 13252680 is 8625231.

13252680 is a `hidden beast` number, since 132 + 526 + 8 + 0 = 666.

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

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, 6684 + ... + 8436.

It is an arithmetic number, because the mean of its divisors is an integer number (394650).

Almost surely, 2^13252680 is an apocalyptic number.

13252680 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 13252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257600).

13252680 is an abundant number, since it is smaller than the sum of its proper divisors (37262520).

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

13252680 is a wasteful number, since it uses less digits than its factorization.

13252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

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

The square root of 13252680 is about 3640.4230523388. The cubic root of 13252680 is about 236.6471274839.

It can be divided in two parts, 1325 and 2680, that added together give a triangular number (4005 = T₈₉).

The spelling of 13252680 in words is "thirteen million, two hundred fifty-two thousand, six hundred eighty".