13785000 has 80 divisors (see below), whose sum is σ = 43111200. Its totient is φ = 3672000.

The previous prime is 13784971. The next prime is 13785001. The reversal of 13785000 is 58731.

13785000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13785001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14541 + ... + 15459.

It is an arithmetic number, because the mean of its divisors is an integer number (538890).

Almost surely, 2^13785000 is an apocalyptic number.

13785000 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 13785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555600).

13785000 is an abundant number, since it is smaller than the sum of its proper divisors (29326200).

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

13785000 is an equidigital number, since it uses as much as digits as its factorization.

13785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 13785000 is about 3712.8156431474. The cubic root of 13785000 is about 239.7740929807.

The spelling of 13785000 in words is "thirteen million, seven hundred eighty-five thousand".