11385000 has 240 divisors, whose sum is σ = 43860960. Its totient is φ = 2640000.

The previous prime is 11384959. The next prime is 11385001. The reversal of 11385000 is 58311.

It is a happy number.

11385000 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 (18).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11385001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494989 + ... + 495011.

It is an arithmetic number, because the mean of its divisors is an integer number (182754).

Almost surely, 2^11385000 is an apocalyptic number.

11385000 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 11385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930480).

11385000 is an abundant number, since it is smaller than the sum of its proper divisors (32475960).

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

11385000 is a wasteful number, since it uses less digits than its factorization.

11385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11385000 is about 3374.1665637606. The cubic root of 11385000 is about 224.9629568647.

The spelling of 11385000 in words is "eleven million, three hundred eighty-five thousand".