11965408 has 72 divisors (see below), whose sum is σ = 29561112. Its totient is φ = 4725504.

The previous prime is 11965403. The next prime is 11965423. The reversal of 11965408 is 80456911.

11965408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11965403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20091 + ... + 20677.

It is an arithmetic number, because the mean of its divisors is an integer number (410571).

Almost surely, 2^11965408 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 11965408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780556).

11965408 is an abundant number, since it is smaller than the sum of its proper divisors (17595704).

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

11965408 is a wasteful number, since it uses less digits than its factorization.

11965408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 11965408 is about 3459.1050865795. The cubic root of 11965408 is about 228.7226481475.

The spelling of 11965408 in words is "eleven million, nine hundred sixty-five thousand, four hundred eight".