11650000 has 60 divisors (see below), whose sum is σ = 28334124. Its totient is φ = 4640000.

The previous prime is 11649977. The next prime is 11650003. The reversal of 11650000 is 5611.

It can be written as a sum of positive squares in 6 ways, for example, as 10810944 + 839056 = 3288^2 + 916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11650003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49884 + ... + 50116.

Almost surely, 2^11650000 is an apocalyptic number.

11650000 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 11650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167062).

11650000 is an abundant number, since it is smaller than the sum of its proper divisors (16684124).

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

11650000 is an frugal number, since it uses more digits than its factorization.

11650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 11650000 is about 3413.2096331752. The cubic root of 11650000 is about 226.6950175995.

Adding to 11650000 its reverse (5611), we get a palindrome (11655611).

The spelling of 11650000 in words is "eleven million, six hundred fifty thousand".