11788416 has 96 divisors (see below), whose sum is σ = 35271600. Its totient is φ = 3919104.

The previous prime is 11788391. The next prime is 11788423. The reversal of 11788416 is 61488711.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (10752) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30915 + ... + 31293.

Almost surely, 2^11788416 is an apocalyptic number.

11788416 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 11788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635800).

11788416 is an abundant number, since it is smaller than the sum of its proper divisors (23483184).

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

11788416 is an frugal number, since it uses more digits than its factorization.

11788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 11788416 is about 3433.4262770591. The cubic root of 11788416 is about 227.5892883025.

The spelling of 11788416 in words is "eleven million, seven hundred eighty-eight thousand, four hundred sixteen".