11965284 has 72 divisors (see below), whose sum is σ = 31919160. Its totient is φ = 3773952.

The previous prime is 11965279. The next prime is 11965321. The reversal of 11965284 is 48256911.

11965284 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 4 ways, for example, as 1272384 + 10692900 = 1128^2 + 3270^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76134 + ... + 76290.

Almost surely, 2^11965284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11965284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959580).

11965284 is an abundant number, since it is smaller than the sum of its proper divisors (19953876).

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

11965284 is a wasteful number, since it uses less digits than its factorization.

11965284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 264 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11965284 is about 3459.0871628220. The cubic root of 11965284 is about 228.7218580447.

The spelling of 11965284 in words is "eleven million, nine hundred sixty-five thousand, two hundred eighty-four".