11768406 has 48 divisors (see below), whose sum is σ = 26358192. Its totient is φ = 3481920.

The previous prime is 11768401. The next prime is 11768411. The reversal of 11768406 is 60486711.

It is a happy number.

11768406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11768401) and next prime (11768411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74880 + ... + 75036.

It is an arithmetic number, because the mean of its divisors is an integer number (549129).

Almost surely, 2^11768406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11768406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179096).

11768406 is an abundant number, since it is smaller than the sum of its proper divisors (14589786).

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

11768406 is a wasteful number, since it uses less digits than its factorization.

11768406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11768406 is about 3430.5110406469. The cubic root of 11768406 is about 227.4604431486.

The spelling of 11768406 in words is "eleven million, seven hundred sixty-eight thousand, four hundred six".