11887792 has 60 divisors (see below), whose sum is σ = 27353160. Its totient is φ = 4988928.

The previous prime is 11887789. The next prime is 11887793. The reversal of 11887792 is 29778811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11887793) 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 11 ways as a sum of consecutive naturals, for example, 46128 + ... + 46384.

It is an arithmetic number, because the mean of its divisors is an integer number (455886).

Almost surely, 2^11887792 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 11887792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676580).

11887792 is an abundant number, since it is smaller than the sum of its proper divisors (15465368).

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

11887792 is a wasteful number, since it uses less digits than its factorization.

11887792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its digits is 56448, while the sum is 43.

The square root of 11887792 is about 3447.8677468836. The cubic root of 11887792 is about 228.2270232843.

The spelling of 11887792 in words is "eleven million, eight hundred eighty-seven thousand, seven hundred ninety-two".