11465000 has 40 divisors (see below), whose sum is σ = 26874210. Its totient is φ = 4584000.

The previous prime is 11464993. The next prime is 11465023. The reversal of 11465000 is 56411.

It is a happy number.

11465000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 4 + 11464996 = 2^2 + 3386^2 .

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 11465000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3854 + ... + 6146.

Almost surely, 2^11465000 is an apocalyptic number.

11465000 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 11465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437105).

11465000 is an abundant number, since it is smaller than the sum of its proper divisors (15409210).

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

11465000 is an equidigital number, since it uses as much as digits as its factorization.

11465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 11465000 is about 3386.0005906674. Note that the first 3 decimals coincide. The cubic root of 11465000 is about 225.4886499270.

The spelling of 11465000 in words is "eleven million, four hundred sixty-five thousand".