11774880 has 288 divisors, whose sum is σ = 47056464. Its totient is φ = 2654208.

The previous prime is 11774879. The next prime is 11774881. The reversal of 11774880 is 8847711.

11774880 is a `hidden beast` number, since 1 + 177 + 488 + 0 = 666.

11774880 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 (11774879) and next prime (11774881).

It can be written as a sum of positive squares in 8 ways, for example, as 7160976 + 4613904 = 2676^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (11774881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318222 + ... + 318258.

Almost surely, 2^11774880 is an apocalyptic number.

11774880 is a gapful number since it is divisible by the number (10) 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 11774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

11774880 is an abundant number, since it is smaller than the sum of its proper divisors (35281584).

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

11774880 is a wasteful number, since it uses less digits than its factorization.

11774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 11774880 is about 3431.4545021026. The cubic root of 11774880 is about 227.5021454533.

The spelling of 11774880 in words is "eleven million, seven hundred seventy-four thousand, eight hundred eighty".