11806392 has 64 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 3579264.

The previous prime is 11806387. The next prime is 11806397. The reversal of 11806392 is 29360811.

It is an interprime number because it is at equal distance from previous prime (11806387) and next prime (11806397).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806397) 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 15 ways as a sum of consecutive naturals, for example, 24409 + ... + 24887.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 2^11806392 is an apocalyptic number.

11806392 is a gapful number since it is divisible by the number (12) 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 11806392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

11806392 is an abundant number, since it is smaller than the sum of its proper divisors (20449608).

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

11806392 is a wasteful number, since it uses less digits than its factorization.

11806392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11806392 is about 3436.0430730711. The cubic root of 11806392 is about 227.7049121855.

The spelling of 11806392 in words is "eleven million, eight hundred six thousand, three hundred ninety-two".