13485000 has 160 divisors (see below), whose sum is σ = 44985600. Its totient is φ = 3360000.

The previous prime is 13484993. The next prime is 13485007. The reversal of 13485000 is 58431.

13485000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13484993) and next prime (13485007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13485007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434985 + ... + 435015.

It is an arithmetic number, because the mean of its divisors is an integer number (281160).

Almost surely, 2^13485000 is an apocalyptic number.

13485000 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 13485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492800).

13485000 is an abundant number, since it is smaller than the sum of its proper divisors (31500600).

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

13485000 is a wasteful number, since it uses less digits than its factorization.

13485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13485000 is about 3672.1928053957. The cubic root of 13485000 is about 238.0219361651.

The spelling of 13485000 in words is "thirteen million, four hundred eighty-five thousand".