11776992 has 48 divisors (see below), whose sum is σ = 31393152. Its totient is φ = 3864960.

The previous prime is 11776967. The next prime is 11776997. The reversal of 11776992 is 29967711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11776997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5517 + ... + 7347.

It is an arithmetic number, because the mean of its divisors is an integer number (654024).

Almost surely, 2^11776992 is an apocalyptic number.

11776992 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 11776992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696576).

11776992 is an abundant number, since it is smaller than the sum of its proper divisors (19616160).

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

11776992 is a wasteful number, since it uses less digits than its factorization.

11776992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1903 counting only the distinct ones).

The product of its digits is 47628, while the sum is 42.

The square root of 11776992 is about 3431.7622295258. The cubic root of 11776992 is about 227.5157466056.

The spelling of 11776992 in words is "eleven million, seven hundred seventy-six thousand, nine hundred ninety-two".