11915000 has 40 divisors (see below), whose sum is σ = 27928560. Its totient is φ = 4764000.

The previous prime is 11914993. The next prime is 11915009. The reversal of 11915000 is 51911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11915000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11915009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3809 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (698214).

Almost surely, 2^11915000 is an apocalyptic number.

11915000 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 11915000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964280).

11915000 is an abundant number, since it is smaller than the sum of its proper divisors (16013560).

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

11915000 is an equidigital number, since it uses as much as digits as its factorization.

11915000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 11915000 is about 3451.8111188186. The cubic root of 11915000 is about 228.4010076398.

Adding to 11915000 its reverse (51911), we get a palindrome (11966911).

The spelling of 11915000 in words is "eleven million, nine hundred fifteen thousand".