11941776 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3093120.

The previous prime is 11941771. The next prime is 11941781. The reversal of 11941776 is 67714911.

11941776 is digitally balanced in base 2 and base 4, because in such bases 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 (11941771) and next prime (11941781).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11941776.

It is not an unprimeable number, because it can be changed into a prime (11941771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33085 + ... + 33443.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^11941776 is an apocalyptic number.

11941776 is a gapful number since it is divisible by the number (16) 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 11941776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

11941776 is an abundant number, since it is smaller than the sum of its proper divisors (30912624).

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

11941776 is a wasteful number, since it uses less digits than its factorization.

11941776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 11941776 is about 3455.6874858702. The cubic root of 11941776 is about 228.5719711297.

The spelling of 11941776 in words is "eleven million, nine hundred forty-one thousand, seven hundred seventy-six".