13486500 has 168 divisors, whose sum is σ = 45355128. Its totient is φ = 3499200.

The previous prime is 13486483. The next prime is 13486507. The reversal of 13486500 is 568431.

13486500 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 650 + 0 = 666.

13486500 is digitally balanced in base 2 and base 4, because in such bases 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 2916 + 13483584 = 54^2 + 3672^2 .

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 (13486507) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 364482 + ... + 364518.

It is an arithmetic number, because the mean of its divisors is an integer number (269971).

Almost surely, 2^13486500 is an apocalyptic number.

13486500 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 13486500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677564).

13486500 is an abundant number, since it is smaller than the sum of its proper divisors (31868628).

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

13486500 is an equidigital number, since it uses as much as digits as its factorization.

13486500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

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

The square root of 13486500 is about 3672.3970373586. The cubic root of 13486500 is about 238.0307612712.

13486500 divided by its sum of digits (27) gives a triangular number (499500 = T₉₉₉).

The spelling of 13486500 in words is "thirteen million, four hundred eighty-six thousand, five hundred".